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 …

ON SOME MATHEMATICAL PROPERTIES OF SOMBOR INDICES Page 1 BULLETIN OF THE
INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE ISSN (p) 2303-4874, ISSN (o) …

The vertices and edges of a graph G are called the elements of G. If e= uv is an edge of G,
then the vertex u and edge e are incident as are v and e. We introduce the first and second K …

Zagreb Indices: Bounds and Extremal Graphs Page 1 MCM 19 I. Gutman, B. Furtula, KC Das,
E. Milovanovic, I. Milovanovic (Eds.), Bounds in Chemical Graph Theory – Basics, Univ …

The forgotten topological index is defined as the sum of cubes of the degrees of the vertices
of the molecular graph $ G. $ In this paper, we obtain, analyze, and compare various lower …

Let G=(V, E), V={v1, v2,..., vn}, be a simple connected graph with n vertices, m edges and
vertex degree sequence Δ= d1≥ d2≥...≥ dn= δ> 0, di= d (vi). General zeroth-order Randić …

Let $ G $ be a simple undirected graph. For any real number $\alpha\in [0, 1] $, Nikiforov
defined the $ A_ {\alpha} $-matrix of $ G $ as $ A_ {\alpha}(G)=\alpha D (G)+(1-\alpha) A (G) …

Abstract Let A (G) and D (G) be the adjacency matrix and the degree diagonal matrix of a
graph G, respectively. For any real number α∈[0, 1], Nikiforov defined the A α-matrix of a …

The hyper-Zagreb index of a simple connected graph G is defined by χ2 (G)=∑ uv∈ E (G)(d
(u)+ d (v)) 2. In this paper, we establish, analyze and compare some new upper bounds on …

Suresh Elumalai, Toufik Mansour, Mohammad Ali Rostami and GBA Xavier abstract: In this
paper, we present and analyze the upper and lower bounds on the Hyper-Zagreb index χ2 …