AUTHOR=Munir Muhammad Mobeen , Wusqa Urwah Tul 

TITLE=Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation

JOURNAL=Frontiers in Chemistry

VOLUME=11

YEAR=2023

URL=https://www.frontiersin.org/journals/chemistry/articles/10.3389/fchem.2023.1267291

DOI=10.3389/fchem.2023.1267291

ISSN=2296-2646

ABSTRACT=<p>The sum of the absolute eigenvalues of the adjacency matrix make up graph energy. The greatest absolute eigenvalue of the adjacency matrix is represented by the spectral radius of the graph. Both molecular computing and computer science have uses for graph energies and spectral radii. The Albertson (<italic>Alb</italic>) energies and spectral radii of generalized splitting and shadow graphs constructed on any regular graph is the main focus of this study. The only thing that may be disputed is the comparison of the (<italic>Alb</italic>) energies and (<italic>Alb</italic>) spectral radii of the newly formed graphs to those of the base graph. By concentrating on splitting and shadow graph, we compute new correlations between the <italic>Alb</italic> energies and spectral radius of the new graph and the prior graph.</p>