Construction of equienergetic and Randic' equienergetic graphs
T K Jahfar, A V Chithra
TL;DR
This paper presents new methods for constructing pairs of graphs that are equienergetic and Randic' equienergetic, introduces new families of integral graphs, and explores eigenvalue properties.
Contribution
It provides novel constructions for equienergetic and Randic' equienergetic graphs, along with new integral graph families and eigenvalue property applications.
Findings
New constructions for equienergetic graphs
New families of integral and Randic' integral graphs
Sequences with reciprocal and anti-reciprocal eigenvalue properties
Abstract
In this paper, we give several constructions for the pairs of graphs to be equienergetic and Randic' equienergetic graphs. Also, some new families of integral and Randic' integral graphs are obtained. As an application, a sequence of graphs established with reciprocal eigenvalue property and anti-reciprocal eigenvalue property.
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Taxonomy
TopicsGraph theory and applications · Synthesis and Properties of Aromatic Compounds · Finite Group Theory Research