Topological Indices and Properties of the Prime Ideal Graph of a Commutative Ring and its Line Graph
Abdul Gazir Syarifudin,
Intan Muchtadi-Alamsyah,
Erma Suwastika
Abstract:Let R be a commutative ring with identity, and P be a prime ideal of R. The prime ideal graph, denoted by Γp, is the graph where the set of vertices is R/{0} and two vertices are joined by an edge if their product belongs to P. This paper will discuss topological indices and some properties of the prime ideal graph of a commutative ring and its line graph. Topological indices, such as the Wiener, first Zagreb, second Zagreb, Harary, Gutman, Schultz, and Harmonic indices, are related to the degree of vertices a… Show more
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