On the harmonic index and the chromatic number of a graph. - Hanyuan Deng; Selvaraj Balachandran; S. K. Ayyaswamy; Yanamandram B. Venkatakrishnan (Discret. Appl. Math., 2013)

Multiplicatively weighted Harary index of graphs. - Hanyuan Deng; B. Krishnakumari; Yanamandram B. Venkatakrishnan; Selvaraj Balachandran (J. Comb. Optim., 2015)

The Zagreb indices of four operations on graphs. - Hanyuan Deng; D. Sarala; S. K. Ayyaswamy; Selvaraj Balachandran (Appl. Math. Comput., 2016)

The Randic Indices of Trees, Unicyclic Graphs and Bicyclic Graphs. - Jianxi Li; Selvaraj Balachandran; S. K. Ayyaswamy; Yanamandram B. Venkatakrishnan (Ars Comb., 2016)

Gravitational search algorithm based solution for a class of ternary diophantine equations. - S. Raja Balachandar; K. Kannan 001; R. Srikanth 002; Selvaraj Balachandran; S. G. Venkatesh; K. Balasubramanian (J. Comput. Methods Sci. Eng., 2016)

The Zagreb indices of graphs based on four new operations related to the lexicographic product. - D. Sarala; Hanyuan Deng; S. K. Ayyaswamy; Selvaraj Balachandran (Appl. Math. Comput., 2017)

On Harmonic Indices of Trees, Unicyclic graphs and Bicyclic graphs. - Hanyuan Deng; Selvaraj Balachandran; S. K. Ayyaswamy; Yanamandram B. Venkatakrishnan (Ars Comb., 2017)

A Note on Harmonic Index and Coloring Number of a Graph. - Hanyuan Deng; Selvaraj Balachandran; S. K. Ayyaswamy (Ars Comb., 2018)

Extremal Properties of Some Topological Indices of Graphs. - Hanyuan Deng; Yanamandram B. Venkatakrishnan; Selvaraj Balachandran (Ars Comb., 2018)

General multiplicative Zagreb indices of trees. - Tomás Vetrík; Selvaraj Balachandran (Discret. Appl. Math., 2018)

Some tight bounds for the harmonic index and the variation of the Randić index of graphs. - Hanyuan Deng; Selvaraj Balachandran; Suresh Elumalai (Discret. Math., 2019)

Harary index of bipartite graphs. - Hanyuan Deng; Selvaraj Balachandran; Suresh Elumalai; Toufik Mansour (Electron. J. Graph Theory Appl., 2019)

A note on Steiner reciprocal degree distance. - D. Sarala; S. K. Ayyaswamy; Selvaraj Balachandran; K. Kannan 001 (Discret. Math. Algorithms Appl., 2020)

General multiplicative Zagreb indices of trees and unicyclic graphs with given matching number. - Tomás Vetrík; Selvaraj Balachandran (J. Comb. Optim., 2020)

General Multiplicative Zagreb Indices of Graphs with a Small Number of Cycles. - Monther R. Alfuraidan; Tomás Vetrík; Selvaraj Balachandran (Symmetry, 2020)

General sum-connectivity index of unicyclic graphs with given diameter. - Monther Rashed Alfuraidan; Kinkar Chandra Das; Tomás Vetrík; Selvaraj Balachandran (Discret. Appl. Math., 2021)

Open problems on the exponential vertex-degree-based topological indices of graphs. - Kinkar Chandra Das; Suresh Elumalai; Selvaraj Balachandran (Discret. Appl. Math., 2021)

General Randić index of unicyclic graphs with given diameter. - Monther Rashed Alfuraidan; Kinkar Chandra Das; Tomás Vetrík; Selvaraj Balachandran (Discret. Appl. Math., 2022)

Zeroth-order general Randić index of trees with given distance k-domination number. - Tomás Vetrík; Mesfin Masre; Selvaraj Balachandran (Electron. J. Graph Theory Appl., 2022)

Eccentric connectivity coindex of bipartite graphs. - Tomás Vetrík; Mesfin Masre; Selvaraj Balachandran (Discret. Math. Algorithms Appl., 2023)

Smallest ABS index of unicyclic graphs with given girth. - Palaniyappan Nithya; Suresh Elumalai; Selvaraj Balachandran; Sourav Mondal (J. Appl. Math. Comput., 2023)

The minimum Sombor index of trees with given number of pendant vertices. - Venkatesan Maitreyi; Suresh Elumalai; Selvaraj Balachandran; Hechao Liu (Comput. Appl. Math., 2023)

Extremal values of the atom-bond sum-connectivity index in bicyclic graphs. - Kannan Aarthi; Suresh Elumalai; Selvaraj Balachandran; Sourav Mondal (J. Appl. Math. Comput., 2023)

On difference between atom-bond sum-connectivity index and Randić index of graphs. - Kannan Aarthi; Suresh Elumalai; Selvaraj Balachandran; Sourav Mondal (J. Appl. Math. Comput., 2025)

Bounds on inverse sum indeg index of graph operations. - Hanyuan Deng; Selvaraj Balachandran; Suresh Elumalai; S. G. Venkatesh (Ars Comb., 2025)