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 …

The Wiener index of the zero-divisor graph of Zn - ScienceDirect Skip to main contentSkip to
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Topological indices are widely used for characterizing molecular graphs, establishing
relationships between structure and properties of molecules. In this article we discuss …

This article presents a survey of results consisting of the Wiener index of graphs associated
with commutative rings. In particular, we focus on zero-divisor graphs, unit graphs, total …

Let R be a commutative ring with all non-zero zero divisors Z∗(R) of R. Then Γ (R) is said to
be a zero divisor graph if and only if a· b= 0 where a, b∈ V (Γ (R))= Z∗(R) and (a, b)∈ E (Γ …

Zero-divisor graphs of finite commutative rings: a survey Page 1 Surveys in Mathematics and
its Applications ISSN 1842-6298 (electronic), 1843-7265 (print) Volume 15 (2020), 371 – 397 …

For a commutative ring R with non-zero identity, let Z∗(R) denote the set of non-zero zero-
divisors of R. The zero-divisor graph of R, denoted by Γ (R), is a simple undirected graph …

Let R be a ring with non-zero identity. The unit graph of R, denoted by G (R), is an
undirected graph with all the elements of R as vertices and where distinct vertices x, y are …

Topological indices are widely used in mathematical chemistry to study graphs of molecules
of a chemical compound. The comaximal graph of a ring R, denoted by Γ (R), has elements …

A topological index is a numeric quantity associated with a chemical structure that attempts
to link the chemical structure to various physicochemical properties, chemical reactivity, or …