Title : ( Some new results on Jacobson graphs )
Authors: zahra fattahi , Ahmad Erfanian , Mohsen Alinejad ,
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Abstract
Abstract Let R be a commutative ring with non-zero identity, and J(R) be the Jacobson ideal of R. The Jacobson graph of R is a graph with vertex set R\J(R), and two distinct vertices x and y are adjacent if and only if 1−xy is not a unit element. In this paper we characterize the finite Jacobson graphs which are chordal graphs, cographs, line graphs, or interval graphs. Among other results, we find the degree set of finite Jacobson graphs, and the number of vertices with specific degree.
Keywords
Jacobson graph·Chordal graph·Cograph·Line graph·Degree set
@article{paperid:1071227,
author = {Fattahi, Zahra and Erfanian, Ahmad and Alinejad, Mohsen},
title = {Some new results on Jacobson graphs},
journal = {Rendiconti del Circolo Matematico di Palermo},
year = {2018},
volume = {67},
number = {3},
month = {June},
issn = {0009-725X},
pages = {1--9},
numpages = {8},
keywords = {Jacobson graph·Chordal graph·Cograph·Line graph·Degree set},
}
%0 Journal Article
%T Some new results on Jacobson graphs
%A Fattahi, Zahra
%A Erfanian, Ahmad
%A Alinejad, Mohsen
%J Rendiconti del Circolo Matematico di Palermo
%@ 0009-725X
%D 2018
