There has been an upsurge of research on complex networks in recent years. The purpose
of this paper is to study the mathematical properties of the random pentagonal chain …

Topological invariants are numerical parameters of graphs or hypergraphs that indicate its
topology and are known as graph or hypergraph invariants. In this paper, topological indices …

General Gutman Index of a Graph 1 Introduction Page 1 MATCH Communications in
Mathematical and in Computer Chemistry MATCH Commun. Math. Comput. Chem. 89 (2023) …

Quantitative structure-property relationship (QSPR) modeling is crucial in cheminformatics
and computational drug discovery for predicting the activity of compounds. Topological …

Let G=(V, E) be a finite, connected, simple graph. We denote the degree of a vertex v in G by
deg (v), and for two vertices u, v in G, d (u, v) denotes the usual distance between u and v in …

A topological index is a numeric quantity associated with a graph which characterize the
topology of graph and is invariant under graph automorphism. In this paper we extend the …

Abstract The Gutman index Gut (G) of a graph G is defined as∑{x, y}⊆ V (G) deg (x) deg (y)
d (x, y), where V (G) is the vertex set of G, deg (x), deg (y) are the degrees of vertices x and y …

For a graph G, its bond-additive indices are defined as∑ uv∈ E (G) β (u, v), where E (G) is
the edge set of G and β is a realvalued function satisfying the property β (u, v)= β (v, u). By …

In this contribution, we first investigate sharp bounds for the reciprocal sum-degree distance
of graphs with a given matching number. The corresponding extremal graphs are …

WIENER INDEX OF TREES OF GIVEN ORDER AND DIAMETER AT MOST $6$ Page 1 doi:10.1017/S0004972713000816
WIENER INDEX OF TREES OF GIVEN ORDER AND DIAMETER AT MOST 6 SIMON …