Title : ( THE JACOBSON GRAPH OF COMMUTATIVE RINGS )
Authors: Ali Azimi , Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan ,
Full TextAbstract
Abstract. Some graph theoretical properties of the Jacobson graph of a nite commutative ring with non-zero identity includ- ing its connectivity, planarity and perfectness is obtained. Also, we compute some numerical invariants of Jacobson graphs, namely diameter, dominating number, independence number and vertex chromatic numbers and give an estimate for their edge chromatic number.
Keywords
, Jacobson graph, diameter, girth, connectivity, planarity.
@inproceedings{paperid:1040444,
author = {Azimi, Ali and Erfanian, Ahmad and Farrokhi Derakhshandeh Ghouchan, Mohammad},
title = {THE JACOBSON GRAPH OF COMMUTATIVE RINGS},
booktitle = {چهل و چهارمین کنفرانس ریاضی ایران},
year = {2013},
location = {مشهد, IRAN},
keywords = {Jacobson graph; diameter; girth; connectivity; planarity.},
}
%0 Conference Proceedings
%T THE JACOBSON GRAPH OF COMMUTATIVE RINGS
%A Azimi, Ali
%A Erfanian, Ahmad
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%J چهل و چهارمین کنفرانس ریاضی ایران
%D 2013
