Graph Energies of Generalized and Shadow-Splitting Graphs
Combinatorics
2026-04-02 v1 Spectral Theory
Abstract
We extend the notions of the m-splitting graph Sm(G) and the m-shadow graph Dm(G) to introduce two new graph operations: the (p, q)-generalized splitting graph Sp,q(G) and the (c, k)-shadow-splitting graph Hc,k(G). We derive the adjacency energy of these constructions and as an application, identify several new infinite families of equienergetic and borderenergetic graphs.
Keywords
Cite
@article{arxiv.2604.00040,
title = {Graph Energies of Generalized and Shadow-Splitting Graphs},
author = {Ronak B. Dudhat and Vinodray J. Kaneria and Kalpesh M. Popat},
journal= {arXiv preprint arXiv:2604.00040},
year = {2026}
}
Comments
15 pages