The intersection graph of gamma sets in the total graph of a commutative ring II
نویسندگان
چکیده
T. Tamizh Chelvam and T. Asir [15] studied the intersection graph of gamma sets in the total graph of a commutative Artin ring. The intersection graph ITΓ(R) of gamma sets in the total graph of a commutative ring R, is the undirected graph with vertex as collection of all γ-sets in the total graph of R and two distinct vertices u and v are adjacent if and only if u ∩ v 6= ∅. In this paper, we continue our interest on ITΓ(R) and actually we study about Eulerian and Hamiltonian nature of ITΓ(R). Further, we focus on certain graph theoretic parameters of ITΓ(R) like the independence number and the clique number of ITΓ(R). Some of the results proved in this paper generalize the results proved in [13].
منابع مشابه
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