The two Zagreb indices M 1=∑ vd (v) 2 and M 2=∑ uvd (u) d (v) are vertex-degree-based
graph invariants that have been introduced in the 1970s and extensively studied ever since …

For any real number α, the sum of the α-th powers of the degrees of a (molecular) graph G,
denoted by 0Rα (G), is known as the general zeroth–order Randic index as well as the …

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 …

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

The first and second Zagreb indices of a graph are equal, respectively, to the sum of squares
of the vertex degrees, and the sum of the products of the degrees of pairs of adjacent …

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 …

Many existing degree based topological indices can be classified as bond incident degree
(BID) indices, whose general form is BID (G)=∑ uv∈ E (G) f (du, dv), where uv is the edge …

The third leap Zagreb index of a graph G is denoted as LM 3 (G) and is defined as LM 3
(G)=∑ b∈ V (G) d (b/G) d 2 (b/G), where d 2 (b/G) and d (b/G) are the 2-distance degree and …

Background: Topological index is a numerical molecular descriptor that plays an important
role in structure-property/structure-activity modeling. A large number of works on …

Abstract Let G=(V, E), V={v1, v2,..., vn} be a simple connected graph with n vertices, m edges
and a sequence of vertex degrees d1≥ d2≥···≥ dn> 0, di= d (i). If vertices vi and vj are …