Bounds For Spectral Radius and Energy of $PIS$ Graphs

Authors : Esra Öztürk Sözen, Elif Eryaşar

Pages : 26-35

Doi:10.33484/sinopfbd.1343041

View : 38 | Download : 48

Publication Date : 2024-06-29

Article Type : Research

Abstract :Once the spectral radius and energy of a graph structure have been defined, many properties have been studied. The spectral radius and energy of a graph are related to the eigenvalues of the adjacency matrix of the graph. In this paper, we define an adjacency matrix for a prime ideal sum ($PIS$) graph and then extend the concepts of spectral radius and energy to $PIS$ graphs. Some bound theorems on the energy and spectral radius of $PIS$ graph structures are given. A SageMath code for plotting these graphs is also provided.
Keywords : Graf enerjisi, asal ideal toplam graf, spektral yarıçap