PUBLISHED/ACCEPTED in Journals:

 

 

222. K. C. Das, Conjectures on Resolvent Energy of Graphs, MATCH Commun. Math. Comput. Chem., in press.

 

221. K. C. Das, M. Aouchiche, P. Hansen, On distance Laplacian and distance signless Laplacian eigenvalues of graphs, Linear and Multilinear Algebra, in press.

 

220. K. C. Das, M. Matejic, E. Milovanovic, I. Milovanovic, Bounds for symmetric division deg index of graphs, Filomat, in press.

 

219. K. C. Das, I. Gutman, On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs, Linear Algebra Appl. 554 (2018) 170--184.

 

218. K. C. Das, I. Gutman, Comparing Laplacian energy and Kirchhoff index, MATCH Commun. Math. Comput. Chem., in press.

 

217. K. C. Das, I. Gutman, I. Milovanovic, E. Milovanovic, B. Furtula, Degree-based energies of graphs, Linear Algebra Appl. 554 (2018) 185--204.

216. K. Xu, H. Liu, K. C. Das, S. Klavzar, Embeddings into almost self-centered graphs of given radius, Journal of Combinatorial Optimization, in press.

215. X. Chen, K. C. Das, Solution to a conjecture on the maximum ABC index of graphs with given chromatic number, Discrete Appl. Math., in press.

214. T. Wu, S. Ren, K. C. Das, Some extremal graphs with respect to permanental sum, Bulletin of the Malaysian Mathematical Sciences Society, in press.

213. S. Sun, K. C. Das, Normalized Laplacian eigenvalues with chromatic number and independence number of graphs, Linear and Multilinear Algebra, in press.

212. B. Horoldagva, K. C. Das, T.-A. Selenge, On ve-degree and ev-degree of graphs, Discrete Optimization, in press.

211. Y. Mao, Z. Wang, K. C. Das, Steiner Degree Distance of Two Graph Products, Analele Stiintifice ale Universitatii Ovidius Constanta, in press.

 

210. K. C. Das, Proof of conjecture involving algebraic connectivity and average degree of graphs, Linear Algebra Appl. 548 (2018) 172--188.

 

209. K. C. Das, M. Aouchiche, P. Hansen, On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs, Discrete Appl. Math., in press.

 

208. K. C. Das, K. Xu, X. Li, H. Liu, On the average of the eccentricities of a graph, Filomat, in press.

 

207. K. C. Das, M. Liu, On two conjectures of spectral graph theory, Bulletin of the Iranian Mathematical Society, in press.

206. N. Mahajan, H. Jangra, K. C. Das, S. S. Sambi, P. V. Bharatam, A. K. Madan, Path Eccentric Connectivity Indices: Novel Highly Discriminating Topological Descriptors for QSAR/QSPR. Part 1. Development and Evaluation, Internet Electronic Journal of Molecular Design 15 (1) (2016) 1--23.

205. Y. Yao, M. Liu, K. C. Das, Y. Ye, Some extremal results for vertex-degree-based invariants, MATCH Commun. Math. Comput. Chem., in press.

204. Y. Mao, K. C. Das, Steiner Gutman index, MATCH Commun. Math. Comput. Chem., 79 (3) (2018) 779--794.

203. B. Horoldagva, L. Buyantogtokh, K. C. Das, S.-G. Lee, On general reduced second Zagreb index of graphs, Hacettepe Journal of Mathematics and Statistics, in press.

202. B. Furtula, K. C. Das, I. Gutman, Comparative analysis of symmetric division deg index as potentially useful molecular descriptor, International Journal of Quantum Chemistry, in press.

201. M. An, K. C. Das, First Zagreb index, k-connectivity, beta-deficiency and k-hamiltonicity of graphs, MATCH Commun. Math. Comput. Chem. 80 (1) (2018) 141--151.

 

200. K. C. Das, Comparison between Zagreb eccentricity indices and the eccentric connectivity index, the second geometric-arithmetic index and the Graovac-Ghorbani index, Croat Chem. Acta. 89 (4) (2016) 505--510.

 

199. K. C. Das, S. Shaowei, Distance between the normalized Laplacian spectra of two graphs, Linear Algebra Appl. 530 (2017) 305--321.

 

198. K. C. Das, S. Balachandran, I. Gutman, Inverse degree, Randic index and Harmonic index of graphs, Applicable Analysis and Discrete Mathematics 11 (2017) 304--313.

 

197. K. C. Das, Y. Yang, Eigenvalues of the resistance-distance matrix of complete multipartite graphs, Journal of inequalities and appl. (2017) 2017:296.

196. M. Liu, Y. Zhu, H. Shan, K. C. Das, Erratum to ``The spectral characterization of butterfly-like graphs" [Linear Algebra Appl. 513 (2017) 55--68], 539 (2018) 274--276.

195. K. Xu, Y. Alizadeh, K. C. Das, On two eccentricity-based topological indices of graphs, Discrete Appl. Math. 233 (2017) 240--251.

 

194. K. C. Das, C. Fonseca, Some spectral bounds for the harmonic index, Analele Stiintifice ale Universitatii Ovidius Constanta 25 (3) (2017) 73--81.

193. I. Gutman, K. C. Das, B. Furtula, E. Milovanovi\'c, I. E. Milovanovi\'c, Generalizations of Sz\'{o}kefalvi Nagy and Chebyshev Inequalities with Applications in Spectral Graph Theory, Applied Mathematics Computation 313 (2017) 235--244.

192. M. Liu, K. C. Das, On the ordering of distance-based invariants of graphs, Applied Mathematics Computation 324 (2018) 191--201..

 

191. K. C. Das, Y. Shi, Some properties on entropies of graphs, MATCH Commun. Math. Comput. Chem. 78 (2) (2017) 259--272.

190. H. Lin , D. Li, K. C. Das, Distance between distance spectra of graphs, Linear and Multilinear Algebra 65 (12) (2017) 2538--2550.

189. B. Borovicanin, K. C. Das, B. Furtula, I. Gutman, Zagreb Indices: Bounds and Extremal Graphs, 19. Bounds in Chemical Graph Theory – Basics, Kragujevac, 2017, 67--153. (Book Chapter).

 

188. K. C. Das, M. Liu, Minimal extremal graphs for addition of algebraic connectivity and independence number of connected graphs, Filomat 31 (18) (2017) 5545--5551.

 

187. K. C. Das, M. Liu, Kite graphs determined by their spectra, Applied Mathematics Computation 297 (2017) 74--78.

 

186. K. C. Das, S. A. Mojallal, I. Gutman, Relations between degrees, conjugate degrees and graph energies, Linear Algebra Appl. 515 (2017) 24--37.

 

185. K. C. Das, On energy, Laplacian energy and signless Laplacian energy of graphs, Bounds in Chemical Graph Theory, Kragujevac, 2017. (Book Chapter)

 

184. K. C. Das, S. Elumalai, I. Gutman, On ABC-index of graphs, MATCH Commun. Math. Comput. Chem. 78 (2) (2017) 459--468.

 

183. K. C. Das, A. D. Maden, I. N. Cangul, A. S. Cevik, On average eccentricity of graphs, Proceedings of the National Academy of Sciences, Physical Sciences (NASA) 87 (1) (2017) 23--30.

 

182. K. C. Das, M. J. Nadjafi-Arani, On maximum Wiener index of trees and graphs with given radius, Journal of Combinatorial Optimization 34 (2) (2017) 574--587.

 

181. K. C. Das, I. Gutman, B. Furtula, On spectral radius and energy of extended adjacency matrix of graphs, Applied Mathematics Computation 296 (2017) 116--123.

 

180. K. C. Das, E. Fritscher, L. K. Pinheiro, V. Trevisan, Maximum Laplacian energy of unicyclic graphs, Discrete Appl. Math. 218 (2017) 71--81.

 

179. K. C. Das, M. Liu, Quotient of spectral radius, (signless) Laplacian spectral radius and clique number of graphs, Czechoslovak Math. Journal 66 (3) (2016) 1039--1048.

178. I. Gutman, B. Furtula, K. C. Das, Extended energy and its dependence on molecular structure, Canadian J. Chem. 95 (2017) 526--529.

177. B. Borovicanin, K. C. Das, B. Furtula, I. Gutman, Zagreb indices: Bounds and extremal graphs, MATCH Commun. Math. Comput. Chem. 78 ( 1) (2017) 17--100.

176. M. Liu, Y. Zhu, H. Shan, K. C. Das, The spectral characterization of butterfly-like graphs, Linear Algebra Appl. 513 (2017) 55--68.

175. M. Liu, K. C. Das, H. Lai, The spectral radii of c-cyclic graphs with n vertices, girth g and k pendant vertices, Linear and Multilinear Algebra 65 (5) (2017) 869--881.

174. T.-A. Selenge, B. Horoldagva, K. C. Das, Direct comparison of the variable Zagreb indices of cyclic Graphs, MATCH Commun. Math. Comput. Chem. 78 (2) (2017) 351--360.

173. H. Lin, K. C. Das, B. Wu, Remoteness and distance eigenvalues of a graph, Discrete Appl. Math. 215 (2016) 218--224.

172. B. Horoldagva, K. C. Das, T.-A. Selenge, Complete characterization of graphs for direct comparing Zagreb indices, Discrete Appl. Math. 215 (2016) 146--154.

 

171. K. C. Das, S. Sun, Extremal graphs for normalized Laplacian spectral radius and energy, Electronic Journal of Linear Algebra 31 (20016) 3451--3463.

 

170. K. C. Das, S. A. Mojallal, V. Trevisan, Distribution of Laplacian eigenvalues of graphs, Linear Algebra Appl. 508 (2016) 48--61.

 

169. K. C. Das, S. Sun, I. Gutman, Normalized Laplacian eigenvalues and Randic energy of graphs, MATCH Commun. Math. Comput. Chem. 77 (1) ( 2017) 45--59.

 

168. K. C. Das, M. Dehmer, On a Conjecture on the Extremal Values of Graph Entropy based on Degree Powers, Entropy 18 (2016) 183.

167. X. Chen, K. C. Das, Some results on the Laplacian spread of a graph, Linear Algebra Appl. 505 (2016) 245--260.

 

166. I. Gutman, B. Furtula, K. C. Das, On some degree-and-distance-based graph invariants of trees, Applied Mathematics Computation 289 (2016) 1--6.

 

165. K. C. Das, S. A. Mojallal, On energy and Laplacian energy of graphs, Electronic Journal of Linear Algebra 31 (2016) 167--186.

 

164. H. Lin, K. C. Das, Characterization of extremal graphs from distance signless Laplacian eigenvalues, Linear Algebra Appl. 500 (2016) 77--87.

 

163. J. A. Farsangi, A. Iranmanesh, K. C. Das, Seidel Estrada Index, Journal of Inequalities and Application, (2016) 2016: 120..

 

162. K. C. Das, S. Elumalai, On energy of graphs, MATCH Commun. Math. Comput. Chem. 77 (1) (2017) 3--8.

 

161. K. C. Das, S. A. Mojallal, I. Gutman, On energy of line graphs, Linear Algebra Appl. 499 (2016) 79--89.

 

160. K. C. Das, I. Gutman, On Wiener and multiplicative Wiener indices of graphs, Discrete Appl. Math. 206 (2016) 9--14.

 

159. K. C. Das, S. Sun, Normalized Laplacian Eigenvalues and Energy of Trees, Taiwanese Journal of Mathematics 20 (3) (2016) 491--507.

 

158. K. C. Das, S. A. Mojallal, Relation between signless Laplacian energy, energy of graph and its line graph, Linear Algebra Appl. 493 (2016) 91--107..

 

157. K. C. Das, On the Graovac-Ghorbani index of graphs, Applied Mathematics Computation 275 (2016) 353--360.

 

156. K. C. Das, M. Liu, Complete split graph determined by its (signless) Laplacian spectrum, Discrete Appl. Math. 205 (2016) 45--51.

 

155. K. C. Das, S. Sun, Extremal Graphs for Randic Energy, MATCH Commun. Math. Comput. Chem.77 (1) (2017) 77--84.

 

154. K. C. Das, M. Dehmer, Comparison between the zeroth-order Randi\'c index and the sum-connectivity index, Applied Mathematics Computation 274 (2016) 585--589.

 

153. K. C. Das, Y. Yang, K. Xu, Nordhaus-Gaddum-type results for resistance distance-based molecular structure descriptors, Discussiones Mathematicae Graph Theory 36 (2016) 695--707.

 

152. K. Xu, K. C. Das, A. D. Maden, On a novel eccentricity-based invariant of a graph, Acta Mathematica Sinica, English Series 32 (12) (2016) 1477--1493.

 

151. H. Hua, K. C. Das, On the Wiener polarity index of graphs, Applied Mathematics Computation 280 (2016) 162--167.

 

150. K. C. Das, J.-M. Guo, Eigenvalues of the k-th power of a graph, Mathematische Nachrichten 289 (13) (2016) 1585--1593.

 

149. K. C. Das, S. A. Mojallal, I. Gutman, On energy and Laplacian energy of bipartite graphs, Applied Mathematics Computation 273 (2016) 759--766.

 

148. K. C. Das, S. A. Mojallal, Extremal Laplacian energy of threshold graphs, Applied Mathematics Computation 273 (2016) 267--280.

 

147. B. Furtula, I. Gutman, K. C. Das, On atom-bond connectivity molecule structure descriptors, Journal Serbian Chem. Soc. 81 (3) (2016) 271--276.

 

146. K. C. Das, G. Su, L. Xiong, Relation between Degree Distance and Gutman Index of Graphs, MATCH Commun. Math. Comput. Chem. 76 (1) (2016) 221--232.

 

145. K. Xu, K. C. Das, Some extremal graphs with respect to inverse degree, Discrete Appl. Math. 203 (2016) 171--183.

 

144. G. Su, J. Tu, K. C. Das, Graphs with fixed number of pendent vertices and minimal Zeroth-order general Randic index, Applied Mathematics Computation 270 (2015) 705--710.

 

143. K. C. Das, M. A. Mohammed, I. Gutman, K. A. Atan, Comparison between Atom-Bond Connectivity Indices of Graphs, MATCH Commun. Math. Comput. Chem. 76 (1) (2016) 159--170.

 

142. K. C. Das, I. Gutman, M. J. Nadjafi-Arani, Relations between distance-based and degree-based topological indices, Applied Mathematics Computation 270 (2015) 142--147.

 

141. K. C. Das, S. Sorgun, K. Xu, On Randic energy of graphs, Energy of graphs, Book Chapter (Energies of Graphs – Theory and Applications), 2016.

 

140. K. Xu, K. C. Das, H. Liu, Some extremal results on the connective eccentricity index of graphs, Journal of Mathematical Analysis and Applications 433 (2016) 803--817.

 

139. K. C. Das, S. A. Mojallal, I. Gutman, On Laplacian energy in terms of graph invariants, Applied Mathematics Computation 268 (2015) 83--95.

 

138. M. Liu, B. Liu, K. C. Das, Recent results on the majorization theory of graph spectrum and topological index theory-A survey, Electronic Journal of Linear Algebra 30 (2015) 402--421.

 

BOOK: K. Xu, K. C. Das, N. Trinajstic, The Harary Index of a Graph, Springer, Berlin, Heidelberg, 2015 (Feb).

 

137. K. Xu, K. C. Das, X.-D. Zhang, Ordering connected graphs by their Kirchhoff indices, International Journal of Computer Math. 93 (10) (2016) 1741--1755.

 

136. K. C. Das, C. M. d. S. Junior, M. A. A. d. Freitas, R. R. Del-Vecchio, Bounds on the entries of the principal eigenvector of the distance signless Laplacian matrix, Linear Algebra Appl. 483 (2015) 200--220.

 

135. K. C. Das, I. Gutman, Bounds for the Energy of Graphs, Hacettepe Journal of Mathematics and Statistics 45 (3) (2016) 1--9.

 

134. K. C. Das, S. Das, B. Zhou, On the sum-connectivity index of a graph, Frontiers of Mathematics in China11 (1) (2016) 47--54.

 

133. K. C. Das, S. A. Mojallal, Relation between energy and (signless) Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 74 (2) (2015) 359--366.

 

132. K. C. Das, A conjecture on algebraic connectivity of graphs, Taiwanese Journal of Mathematics19 (2015) 1317--1323.

 

131. K. C. Das, M. J. Nadjafi-Arani, Comparison between the Szeged index and the eccentric connectivity index, Discrete Appl. Math. 186 (2015) 74--86.

 

130. K. Xu, H. Liu, Y. Yang, K. C. Das, The minimal Kirchhoff index of graphs with a given number of cut vertices, Filomat 30 (13) (2016) 3451--3463.

 

129. X. Chen, K. C. Das, Characterization of extremal graphs from Laplacian eigenvalues and the sum of powers of the Laplacian eigenvalues of graphs, Discrete Math. 338 (2015) 1252--1263.

 

128. K. Xu, J. Wang, K. C. Das, S. Klav\v{z}ar, Weighted Harary indices of apex trees and k-apex trees, Discrete Appl. Math. 189 (2015) 30--40.

 

127. H. Hua, Y. Chen, K. C. Das, The Difference between Remoteness and Radius of a graph, Discrete Appl. Math. 187 (2015) 103--110.

 

126. K. Xu, H. Liu, K. C. Das, The Kirchhoff Index of Quasi-Tree graphs, Z. Naturforsch, 70 (3) a (2015) 135--139.

 

125. K. C. Das, K. Xu, On relation between Kirchhoff index, Laplacian-energy-like invariant and Laplacian energy of graphs, Bulletin of the Malaysian Mathematical Sciences Society 39 (2016) S59--S75.

 

124. K. Xu, Z. Zheng, K. C. Das, Extremal t-apex trees with respect to matching energy, Complexity 21 (5) (2015) 238--247.

 

123. L. Feng, K. Xu, K. C. Das, A. Ili\'c, G. Yu, The number of spanning trees of a graph with given matching number, International Journal of Computer Math. 93 (6) (2016) 837--843.

 

122. K. C. Das, Proof of conjectures on the distance signless Laplacian eigenvalues of graphs, Linear Algebra Appl. 467 (2015) 100--115.

 

121. K. C. Das, H. Jeon, N. Trinajstic, Comparison between the Wiener index and the Zagreb indices and the eccentric connectivity index for trees, Discrete Applied Math. 171 (2014) 35--41.

 

120. K. C. Das, S. A. Mojallal, On Laplacian energy of graphs, Discrete Math. 325 (2014) 52--64.

 

119. K. C. Das, I. Gutman, On incidence energy of graphs, Linear Algebra Appl. 446 (2014) 329--344.

 

118. K. C. Das, M. Liu, H. Shan, Upper bounds on the (signless) Laplacian eigenvalues of graphs, Linear Algebra Appl. 459 (2014) 334--341.

 

117. H. Hua, K. C. Das, Proof of conjectures on remoteness and proximity in graphs, Discrete Appl. Math. 171 (2014) 72--80.

 

116. M. Liu, H. Shan, K. C. Das, Some graphs determined by their (signless) Laplacian spectra, Linear Algebra Appl. 449 (2014) 154--165.

 

115. R. K. Marwaha, H. Jangra, K. C. Das, P. V. Bharatam, A. K. Madan, Path eccentricity based highly discriminating topological descriptors for QSAR/QSPR Part-1: development and evaluation, International Journal of Chemical Modeling, Vol VI (4) (2014) --.

 

114. K. C. Das, N. Akg\"unes, M. Togan, A. Yurttas, I. N. Cang\"ul, A. S. Cevik, On the first Zagreb index and multiplicative Zagreb coindices of graphs, Analele Stiintifice ale Universitatii Ovidius Constanta 24 (1) (2016) 153--176.

 

113. N. Akgunes, K. C. Das, A. S. \c{C}evik, Some properties on the tensor product of graphs obtained by monogenic semigroups, Applied Math. Comput. 235 (2014) 352--357.

 

112. M. An, L. Xiong, K. C. Das, Two upper bounds for the degree distances of four sums of graphs, Filomat 28 (3) (2014) 579--590.

 

111. K. Xu, K. C. Das, S. Balachandran, Maximizing the Zagreb Indices of (n,m)-Graphs, MATCH Commun. Math. Comput. Chem. 72 (3) (2014) 641--654.

 

110. K. C. Das, S. Sorgun, I. Gutman, On Randi\'c energy, MATCH Commun. Math. Comput. Chem. 73 (1) (2015) 81--92.

 

109. K. C. Das, K. Xu, J. Nam, On Zagreb indices of graphs, Frontiers of Mathematics in China 10 (3) (2015) 567--582.

 

108. K. Xu, S. Klavzar K. C. Das, J. Wang, Extremal (n, m)-graphs with respect to distance-degree-based topological indices, MATCH Commun. Math. Comput. Chem. 72 (3) (2014) 865--880.

 

107. K. Xu, K. C. Das, H. Liu, J. Wang: Some Notes on Comparing the First and Second Zagreb Eccentricity Indices of Graphs, pp. 251-262, Topics in Chemical Graph Theory. (Book Chapter)

 

106. K. C. Das, K. Xu, M. Liu, On sum of powers of the Laplacian eigenvalues of graphs, Linear Algebra Appl. 439 (2013) 3561--3575.

 

105. K. C. Das, S. Sorgun, On Randi\'c Energy of Graphs, MATCH Commun. Math. Comput. Chem. 72 (1) (2014) 227--238.

 

104. K. C. Das, K. Xu, J. Wang, On Inverse degree and topological indices of graphs, Filomat 30 (8) (2016) 2111-2120 .

 

103. K. Xu K. C. Das, Z. Zheng, The Minimal Matching Energy of (n,m)-Graphs with a Given Matching Number, MATCH Commun. Math. Comput. Chem. 73 (1) (2015) 93--104.

 

102. K. C. Das, I. Gutman, Bound for Vertex PI Index in Terms of Simple Graph Parameters, Filomat 27 (8) (2013) 1583--1587.

 

101. I. Gutman, K. C. Das, Estimating the total p-electron energy, J. Serb. Chem. Soc. 78 (12) (2013) 1925--1933.

 

100. K. Xu, M. Liu, K. C. Das, I. Gutman, B. Furtula, A survey on extremal graphs with respect to distance-based topological indices, MATCH Commun. Math. Comput. Chem. 71 (3) (2014) 461--508.

 

99. K. C. Das, I. Gutman, A. Sinan Cevik, On the Laplacian-energy-like Invariant, Linear Algebra Appl. 442 (2014) 58--68.

 

98. H. Hua, K. C. Das, The relationship between eccentric connectivity index and Zagreb indices, Discrete Applied math. 161 (2013) 2480--2491.

 

97. K. C. Das, K. Xu, I. N. Cangul, A. S. Cevik, A. Graovac, The Harary index of graph operations, Journal of Inequalities and Applications, 2013, 2013: 339.

 

96. A. D. Maden, A. S. Cevik, I. N. Cangul, K. C. Das, On the Kirchhoff matrix, a new Kirchhoff index, and the Kirchhoff energy.

 

95. N. Akgunes, A. S. Cevik, K. C. Das, Topological indices on a graph of monogenic semigroups, Accepted for book chapter.

 

94. M. Liu, F. Li, K. C. Das, Ordering the Zagreb Coindices of Connected Graphs, MATCH Commun. Math. Comput. Chem. 70 (3) (2013) 939--948.

 

93. K. C. Das, A. Sinan Cevik, I. N. Cangul, The number of spanning trees of a graph, Journal of Inequalities and Applications, 2013 (2013: 395).

 

92. K. C. Das, I. Gutman, A. Sinan Cevik, B. Zhou, On Laplacian Energy, MATCH Commun. Math. Comput. Chem. 70 (2) (2013) 689--696.

 

91. K. C. Das, On Kirchhoff Index of graphs, Zeitschrift fuer Naturforschung A, 68 (a) (2013) 531--538.

 

90. N. Akgunes, K. C. Das, I. N. Cangul, A. S. Cevik, The lexicographic product of graphs based on special semigroups, Journal of Inequalities and Applications, 2013, 2013: 238.

 

89. K. C. Das, S. A. Mojallal, I. Gutman, Improving McClelland’s Lower Bound for Energy, MATCH Commun. Math. Comput. Chem. 70 (2) (2013) 663--668.

 

88. K. Xu, K. C. Das, H. Hua, M. V. Diudea, Maximal Harary index of unicyclic graphs with given matching number, Studia Universitatis Babes-Bolyai, Seria Chemia, 2 (2013) 71--86.

 

87. E. G. Karpuz, K. C. Das, I. N. Cangul, Ahmet S. Cevik, A new graph based on the semi-direct product of some monoids, Journal of Inequalities and Applications, 2013, 2013: 118.

 

86. K. C. Das, S. A. Mojallal, Upper Bounds for the Energy of Graphs, MATCH Commun. Math. Comput. Chem. 70 (2) (2013) 657--662.

 

85. K. C. Das, J.-M. Guo, Laplacian eigenvalues of the kth power of a graph, Discrete Math., 313 (2013) 626--634.

 

84. K. C. Das, N. Akgunes, A. S. Cevik, On a graph of monogenic semigroups, Journal of Inequalities and Applications, 2013, 2013: 44.

 

83. K. Xu, K. C. Das, Extremal Laplacian-energy-like invariant of graphs with given matching number, The Electronic Journal of Linear Algebra, 26 (1) (2013) 131--140.

 

82. K. C. Das, A. Yurttas, M. Togan, I. N. Cangul, A. S. Cevik, The multiplicative Zagreb indices of graph operations, Journal of Inequalities and Applications, 2013, 2013: 90.

 

81. K. C. Das, I. N. Cangul, A. D. Maden, A. S. Cevik, On the spectral radius of bipartite graphs which are nearly complete, Journal of Inequalities and Applications, 2013, 2013: 121.

 

80. A. S. Cevik, K. C. Das, Y. Simsek, I. N. Cangul, Some array polynomials over special monoid presentations, Fixed Point Theory and Applications, 2013, 2013: 44.

 

79. B. Horoldagva, K. C. Das, Sharp lower bounds on the Zagreb indices of Unicyclic graphs, Turkish Journal of Mathematics 39 (2015) 595--603.

 

78. A. Sinan Cevik, K. C. Das, I. Naci Cangul, A. Dilek Maden, Minimality over free monoid presentations, Hacettepe Journal of Mathematics and Statistics 43 (6) (2014) 899--913.

 

77. K. Xu, K. Tang, K. C. Das, H. Yue, Chromatic number and some multiplicative vertex-degree-based indices of graphs, Kragujevac Journal of Math. 36 (2) (2012) 323--333.

 

76. K. C. Das, Proof of conjectures involving algebraic connectivity of graphs, Linear Algebra Appl. 438 (2013) 3291--3302.

 

75. K. C. Das, Proof of conjectures on adjacency eigenvalues of graphs, Discrete Math. 313 (2013) 19--25.

 

74. A. Dilek Gungor Maden, K. C. Das, A. Sinan Cevik, Some bounds for the spectral radius of the Signless Laplacian matrix of a graph, Applied Math. Computation 219 (2013) 5025--5032.

 

73. K. C. Das, K. Xu, A. Graovac, Maximal unicyclic graphs with respect to new Atom-bond connectivity index, Acta Chem. Slov. 60 (2013) 34--42.

 

72. K. Xu, K. C. Das, K. Tang, On the Multiplicative Zagreb Coindex of Graphs, Opuscula Mathematica 33 (1) (2013) 191--204.

 

71. K. C. Das, K. Xu, I. Gutman, On Zagreb and Harary indices, MATCH Commun. Math. Comput. Chem. 70 (1) (2013) 301--314.

 

70. B. Arsi\'c, I. Gutman, K. C. Das, K. Xu, Relation between Kirchhoff index and Laplacian-energy-like invariant, Bull. Acad. Serbe Sci. Arts (Cl. Sci. Math. Natur.) 144 (2012) 61--72.

 

69. B. S. Shetty, V. Lokesha, P. S. Ranjini, K. C. Das, Computing some Topological indices of smart polymer, Digest Journal of Nanomaterials and Biostructures 7 (3) (2012) 1097--1102.

 

68. R. K. Marwaha, H. Jangra, K. C. Das, P. V. Bharatam, A. K. Madan, Fourth generation detour matrix based topological indices for QSAR/QSPR Part-1: development and evaluation, IJCBDD 5 (3/4) (2012) 335--360

 

67. K. C. Das, The Journal of Applied \& Computational Mathematics, Applied & Computational Mathematics (JACM) 1 (2) (2012). (EDITORIAL)

 

66. K. C. Das, N. Trinajsti\'{c}, Comparison between geometric-arithmetic indices, Croat. Chem. Acta 85 (3) (2012) 353--357.

 

65. K. C. Das, K. Xu, I. Gutman, Comparison between Kirchhoff index and Laplacian-energy-like invariant of graphs, Linear Algebra Appl. Linear Algebra Appl. 436 (2012) 3661--3671.

 

64. K. C. Das, Proofs of conjectures involving the largest and the smallest signless Laplacian eigenvalues of graphs, Discrete Math 312 (2012) 992--998.

 

63. K. Xu, K. C. Das, Trees, unicyclic and bicyclic graphs extremal with respect to multiplicative sum Zagreb Index, MATCH Commun. Math. Comput. Chem 68 (1) (2012) 257-272.

 

62. K. C. Das, D.-W. Lee, A. Graovac, Some properties of the Zagreb eccentricity indices, ARS Mathematica Contemporanea 6 (2013) 117--125.

 

61. K. C. Das, I. Gutman, D. Vukicevic, One-two descriptor of graphs, Bull. Acad. Serbe Sci. Arts (Cl. Sci. Math. Natur.) 143 (2011) 37-47.

 

60. K. C. Das, Spectral radius and maximal entry in the principal eigenvector for the distance matrix of a graph, Discrete Math. 311 (2011) 2593--2600.

 

59. F. M. Bhatti, K. C. Das, S. A. Ahmed, On the Energy and Spectral Properties of the He-matrix of the Hexagonal Systems, Czechoslovak Mathematical Journal 63 (138) (2013) 47--63.

 

58. K. C. Das, I. Gutman, B. Horoldagva, Comparison between Zagreb indices and Zagreb coindices, MATCH Commun. Math. Comput. Chem. 68 (1) (2012) 189-198.

 

57. B. Horoldagva, K. C. Das, On comparing Zagreb indices of graphs, Hacettepe Journal of Mathematics and Statistics 41 (2) (2012) 223--230.

 

56. K. C. Das, I. Gutman, B. Furtula, On atom-bond connectivity index, Chem. Phys. Lett. 511 (2011) 452--454.

 

55. K. C. Das, I. Gutman, B. Furtula, On first geometric-arithmetic index of graphs, Discrete Applied Math. 159 (2011) 2030--2037.

 

54. K. C. Das, Proofs of conjecture involving the second largest signless Laplacian eigenvalue and the index of graphs, Linear Algebra Appl. 435 (2011) 2420-2424.

 

53. K. C. Das, I. Gutman, B. Furtula, On Atom–Bond Connectivity Index, Filomat, 26 (4) (2012) 733--738.

 

52. K. C. Das, N. Trinajsti\'{c}, Relationship between the eccentric connectivity index and Zagreb indices, Computers and Mathematics with Appl. 62 (2011) 1758--1764.

 

51. K. Xu, K. C. Das, Extremal unicyclic and bicyclic graphs with respect to Harary index, Bulletin of the Malaysian Mathematical Sciences Society 36 (2) (2013) 373--383.

 

50. K. Xu, K. C. Das, On Harary index of graphs, Discrete Applied Math. 159 (2011) 1631-–1640.

 

49. K. C. Das, Extremal graph characterization from the bounds of the spectral radius of weighted graphs, Applied Math. Computation 217 (2011) 7420--7426.

 

48. K. C. Das, I. Gutman, B. Furtula, On second geometric-arithmetic index of graphs, Iranian Journal of Mathematical Chemistry 2 (1) (2010) 17--28. (Special Issue: Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)

 

47. K. C. Das, I. Gutman, B. Furtula, On third geometric-arithmetic index of graphs, Iranian Journal of Mathematical Chemistry 2 (1) (2010) 29--36. (Special Issue: Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)

 

46. K. C. Das, I. Gutman, B. Furtula, A survey on geometric-arithmetic indices of graphs, MATCH Commun. Math. Comput. Chem. 65 (3) (2011) 595--644.

 

45. K. C. Das, A. Dilek Gungar, A. Sinan Cevik, On the Kirchhoff index and the resistance-distance energy of a graph, MATCH Commun. Math. Comput. Chem. 67 (2) (2012) 541--556.

 

44. K. C. Das, N. Trinajsti\'{c}, Comparison between first geometric-arithmetic index and atom-bond connectivity index, Chem. Phys. Lett. 497 (2010) 149-151.

 

43. K. C. Das, Conjectures on index and algebraic connectivity of graphs, Linear Algebra Appl. 433 (2010) 1666-1673.

 

42. K. C. Das, I. Gutman, Estimating the Wiener index by means of number of vertices, number of edges, and diameter, MATCH Commun. Math. Comput. Chem. 64(3) (2010) 647--660.

 

41. K. C. Das, On conjectures involving second largest signless Laplacian eigenvalue of graphs, Linear Algebra Appl. 432 (2010) 3018--3029.

 

40. K. C. Das, Atom-bond connectivity index of graphs, Discrete Applied Math. 158 (2010) 1181--1188.

 

39. D. Gungor,K. C. Das, Improved Upper and Lower Bounds for the Spectral Radius of Digraphs, Applied Math. Computation 216 (2010) 791-799.

 

38. K. C. Das, A. Dilek G\"{u}ng\"{o}r and \c{S}. Burcu Bozkurt, On the normalized Laplacian eigenvalues of graphs, Ars Combinatorica 118 (2015) 143--154.

 

37. K. C. Das, F. M. Bhatti, S.-G. Lee, I. Gutman, Spectral properties of the He matrix of Hexagonal systems, MATCH Commun. Math. Comput. Chem. 65 (3) (2011) 753--774.

 

36. K. C. Das, S.-G. Lee and G.-S. Cheon, On the conjecture for certain Laplacian integral spectrum of graphs, Journal of Graph Theory 63 (2010) 106--113.

 

35. K. C. Das, Maximum Eigenvalue of the Reciprocal Distance matrix, Journal of Mathematical Chemistry 47 (2010) 21--28.

 

34. K. C. Das, I. Gutman, Estimating the vertex PI index, Zeitschrift für Naturforschung A 65a (2010) 1--5.

 

33. K. C. Das, On geometrical-arithmetic index of graphs, MATCH Commun. Math. Comput. Chem. 64 (3) (2010) 619--630.

 

32. A. Abouelaoualim,K. C. Das, W. Fernandez de la Vega, M. karpinski, Y. Manoussakis, C. A. Martinhon and R. Saad, Hamiltonian configurations in edge-colored graphs, Journal of Graph Theory 64 (1)} (2010) 63--86.

 

31. K. C. Das, A sharp upper bound on the maximal entry in the principal eigenvector of symmetric nonnegative matrix, Linear Algebra Appl.431 (2009) 1340--1350.

 

30. K. C. Das, and Sang-Gu Lee, On the conjecture of the Estrada index, Linear Algebra Appl. 431 (2009) 1351--1359.

 

29. K. C. Das, I. Gutman, B. Zhou, New upper bounds on Zagreb indices, Journal of Mathematical Chemistry, 46 (2) (2009) 514--521.

 

28. K. C. Das, On the largest eigenvalue of the distance matrix of a bipartite graph, MATCH Commun. Math. Comput. Chem., 62 (3)(2009) 667--672.

 

27. B. Horoldagva,K. C. Das, Comparing Variable Zagreb Indices for Unicyclic Graphs, MATCH Commun. Math. Comput. Chem., 62 (3)(2009) 725--730.

 

26. K. C. Das, On Comparing Zagreb Indices of Graphs, MATCH Commun. Math. Comput. Chem. 63 (2) (2010) 433--440.

 

25. K. C. Das, I. Gutman, Estimating the Szeged index, Applied Math. Lett. 22 (2009) 1680--1684.

 

24. K. C. Das, B. Zhou, N. Trinajsti\'{c}, Bounds on Harary index, Journal of Mathematical Chemistry, 46 (4) (2009) 1377--1393.

 

23. H. Dureja,K. C. Das, and A. K. Madan, Superpendentic Connectivity Indices: Pendenticity-cum-Adjacency based Topological Descriptors for QSAR/QSPR, Sci. Pharm. 77 (2009) 521--537. o:p>

 

22. A. Abouelaoualim,K. C. Das, W. Fernandez de la Vega, M. karpinski, Y. Manoussakis, C. A. Martinhon and R. Saad, Paths and Trails in edge-colored graphs, Theoretical Computer Science 409 (2008) 497-510.

 

21. A. Abouelaoualim,K. C. Das W. Fernandez de la Vega, M. karpinski, Y. Manoussakis, C. A. Martinhon and R. Saad, Paths and Trails in edge-colored graphs, Paths and Trails in edge-colored graphs, Lecture Notes in Comput. Sci., 4957, Springer, Berlin, 2008.

 

 

20. K. C. Das and R. B. Bapat, A sharp upper bound on the spectral radius of weighted graphs, Discrete Math., 308 (2008) 3180-3186.

 

 

19. K. C. Das Extremal graph characterization from the upper bound of the Laplacian spectral radius of weighted graphs, Linear Algebra Appl. 427 (2007) 55-69.

 

 

18. K. C. Das A sharp upper bound for the number of spanning trees of a graph, Graphs and Combinatorics, 23 (6) (2007) 625-632.

 

 

17. K. C. Das and Jin Ho Kwak, Characterization of graphs on the Randic Index, Linear Algebra Appl. 420 (2007) 124-134.

 

 

16. K. C. Das Some spectral properties of the Laplacian matrix of starlike trees, Italian Journal of Pure and Applied Math. 21 (2007) 197-210.

 

 

15. Balbuena, E. Barker,K. C. Das Y. Lin, M. Miller, J. Ryan, Slamin, K. Sugeng, M. Tkac, On the degrees of a super-vertex-magic graph, Discrete Math. 306 (2006) 539-551.

 

 

14. K. C. Das and R. B. Bapat, A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs, Linear Algebra Appl. 409 (2005) 153-165.

 

 

13. K. C. Das Some properties of Laplacian eigenvalues for generalized star graph, Kragujevac Journal of Math. 27 (2005) 145-162.

 

 

12. K. C. Das Sharp upper bounds on the spectral radius of the Laplacian matrix of graphs, Acta Mathematica Universitatis Comenianae, 2 (2005) 185-198.

 

 

11. K. C. Das and P. Kumar, Some new bounds on the spectral radius of graphs, Discrete Math., 281 (2004),

149-161.

 

10. K. C. Das, Maximizing the sum of the squares of the degrees of a graph, Discrete Math.,

285 (2004), 57-66.

9. K. C. Das, The Laplacian Spectrum of a Graph, Computers and Mathematics with Appl.,

48 (2004), 715-724.

 

8. K. C. Das, An improved upper bound for Laplacian graph eigenvalues, Linear Algebra Appl.,

368 (2003), 269-278.

 

7. K. C. Das, A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs, Linear Algebra Appl. 376 (2004), 173-186.

 

6. K. C. Das, Sharp lower bounds on the Laplacian eigenvalues of trees, Linear Algebra Appl.,

384 (2004), 155-169.

 

5. K. C. Das, The largest two Laplacian eigenvalues of a graph, Linear and Multilinear Algebra,

52 (6) (2004), 441-460.

 

4. K. C. Das, Sharp bounds for the sum of the squares of the degrees of a graph, Kragujevac Journal

of Math., 25 (2003), 31-49.

 

3. I. Gutman and K. C. Das, The first Zagreb Index 30 years after, Match Communications

in Mathematical and in Computer Chem. 50 (2004), 83-92.

 

2. K. C. Das and I. Gutman, Some properties of the Second Zagreb Index, Match Communications

in Mathematical and in Computer Chem. 52 (2004), 103-112.

 

1. K. C. Das and P. Kumar, Bounds on the greatest eigenvalue of graphs, Indian Journal of Pure

and Applied Math. 34 (6) (2003), 917-925.

Last Updated on :30 August,2004