We study eccentricity-based indices such as Zagreb eccentricity indices, general index and total index. present exact values of generalized networks related to binary $m$-ary trees, where $m \ge 2$.

The forgotten topological coindex (also called Lanzhou index) is defined for a simple connected graph G as the sum of the terms du2+dv2 over all non-adjacent vertex pairs uv of G, where du denotes the degree of the vertex u in G. In this paper, we present some inequalit...

By the Von Neumann regular graph of R, we mean the graph that its vertices are all elements of R such that there is an edge between vertices x,y if and only if x+y is a von Neumann regular element of R, denoted by G_Vnr (R). For a commutative ring R with unity, x in R is called Von Neumann regular if there exists x in R such that a=a2 x. We denote the set of Von Neumann regular elements by V nr...

Chemical graph theory is currently expanding the use of topological indices to numerically encode chemical structure. The prediction characteristics provided by structure molecule a key feature these indices. concepts from are presented in brief discussion one its many applications chemistry, namely, quantitative structure-activity relationship (QSAR) studies and structure-property (QSPR) studi...

In this note, we derive the lower bound on the sum for Wiener index of bipartite graph and its bipartite complement, as well as the lower and upper bounds on this sum for the Randić index and Zagreb indices. We also discuss the quality of these bounds.