Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

Let R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if I + J is a prime ideal of R. In this paper, w...

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Bibliographic Details
Main Authors: Praveen Mathil, Barkha Baloda, Jitender Kumar, A. Somasundaram
Format: Article
Language:English
Published: Taylor & Francis Group 2024-09-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Non-local ring
ideals
genus and crosscap of a graph
prime ideal
05C25
Online Access:https://www.tandfonline.com/doi/10.1080/09728600.2024.2349310
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