AU - Kourehpaz, A.
AU - Nikandish, R.
TI - On Eulerianity and Hamiltonicity in Annihilating-ideal Graphs
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 16
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-1251-en.html
4100 - http://ijmsi.ir/article-1-1251-en.pdf
SO - IJMSI 1
ABĀ - Let $R$ be a commutative ring with identity, and $ mathrm{A}(R) $ be the set of ideals with non-zero annihilator. The annihilating-ideal graph of $ R $ is defined as the graph $AG(R)$ with the vertex set $ mathrm{A}(R)^{*}=mathrm{A}(R)setminuslbrace 0rbrace $ and two distinct vertices $ I $ and $ J $ are adjacent if and only if $ IJ=0 $. In this paper, conditions under which $AG(R)$ is either Eulerian or Hamiltonian are given.
CP - IRAN
IN - Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran
LG - eng
PB - IJMSI
PG - 97
PT - Research paper
YR - 2021