Bounds For Spectral Radius and Energy of $PIS$ Graphs

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Sinop Üniversitesi Fen Bilimleri Dergisi
Volume:9 Issue:1
Bounds For Spectral Radius and Energy of $PIS$ Graphs

Bounds For Spectral Radius and Energy of $PIS$ Graphs

Authors : Esra Öztürk Sözen, Elif Eryaşar

Pages : 26-35

Doi:10.33484/sinopfbd.1343041

View : 60 | Download : 53

Publication Date : 2024-06-29

Article Type : Research Paper

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

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