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.
 In this paper, we define a 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 Sage-Math code for plotting these graphs is also provided.

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