AUTHOR=Bilal Ahmad , Munir Muhammad Mobeen , Qureshi Muhammad Imran , Athar Muhammad 

TITLE=ISI spectral radii and ISI energies of graph operations

JOURNAL=Frontiers in Physics

VOLUME=Volume 11 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1149006

DOI=10.3389/fphy.2023.1149006

ISSN=2296-424X

ABSTRACT=Graph energy is the sum of the adjacency matrix's
absolute eigenvalues. The graph's spectral radius represents the
adjacency matrix's largest absolute eigenvalue. Applications for
graph energies and spectral radii can be found in both molecular
computing and computer science. This article's main focus is the
Inverse Sum Indeg, ($ISI$) energies, and ($ISI$) spectral radii of
the $p$-splitting and $p$-shadow graphs constructed on any regular
graph. Only the comparison of the energies and spectral radii of the
newly created graphs to those of the base graph may be questioned.
Concentrating on these two graph operations, we compute new relations between the $ISI$ energies and spectral radius of the new graph with the original graph.