Title of article :
On Eulerianity and Hamiltonicity in Annihilating-ideal Graphs
Author/Authors :
Kourehpaz, A Department of Mathematics - Jundi-Shapur University of Technology - Dezful, Iran , Nikandish, R Department of Mathematics - Jundi-Shapur University of Technology - Dezful, Iran
Abstract :
Let R be a commutative ring with identity, and A(R) be the set of ideals with non-zero annihilator. In this
paper, conditions under which AG(R) is either Eulerian or Hamiltonian
are given.
Farsi abstract :
فرض كنيم R يك حلقه تعويض پذير يكدار باشد و A(R) مجموعه ي ايده آل ها با پوچ ساز ناصفر باشد. در اين مقاله، شرايطي كه در تحت آن 𝐴𝐺(𝑅) اويلري يا هميلتوني هستند ارائه مي شوند.
Keywords :
Annihilating-ideal graph , Eulerian graphs , Hamiltonian graphs
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
