Let\(G\) be a graph with vertex set\(V (G)\) and edge set\(E (G)\). Let\(d_i\) be the degree of the vertex\(v_i\in V (G)\). The first and second Zagreb indices,\(M_1=\sum_ {v_i\in V (G)} d_i …
The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is denoted by Sombor index …
B Furtula, I Gutman - Journal of mathematical chemistry, 2015 - Springer
In 1972, within a study of the structure-dependency of total π π-electron energy (EE), it was shown that EE depends on the sum of squares of the vertex degrees of the molecular graph …
I Gutman - Croatica chemica acta, 2013 - hrcak.srce.hr
Degree-Based Topological Indices† Page 1 † Dedicated to Professor Douglas Jay Klein on the occasion of his 70th birthday. CROATICA CHEMICA ACTA CCACAA, ISSN 0011-1643 …
This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of …
This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition. The book is divided into two parts. 11 …
New Edition! Completely Revised and UpdatedChemical Graph Theory, 2nd Edition is a completely revised and updated edition of a highly regarded book that has been widely …
M Randic - Journal of the American Chemical Society, 1975 - ACS Publications
A theoretical characterization of molecular branching is considered. Members of homologous series are ordered in a sequence and a numerical index is assigned to …
A Golbraikh, A Tropsha - Journal of molecular graphics and modelling, 2002 - Elsevier
Validation is a crucial aspect of any quantitative structure–activity relationship (QSAR) modeling. This paper examines one of the most popular validation criteria, leave-one-out …