A CLASS OF WELL-COVERED AND VERTEX DECOMPOSABLE GRAPHS ARISING FROM RINGS

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Vafaei Morteza; TEHRANIAN ABOLFAZL; NIKANDISH REZA

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Journal Paper

Paper Information

Journal: ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS Year:2020 | Volume:7 | Issue:2 Page(s): 79-91

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Information Journal Paper

Title

A CLASS OF WELL-COVERED AND VERTEX DECOMPOSABLE GRAPHS ARISING FROM RINGS

Author(s)

Vafaei Morteza | TEHRANIAN ABOLFAZL | NIKANDISH REZA | Issue Writer Certificate

Keywords

Independence number

Complete graph

Well-covered

Clique number

Vertex decomposable

Abstract

Let Zn be the ring of integers modulo n. The unitary Cayley graph of Zn is defined as the graph G(Zn) with the vertex set Zn and two distinct vertices a,b are adjacent if and only if a 􀀀,b 2 U (Zn), where U (Zn) is the set of units of Zn. Let ℾ, (Zn) be the complement of G(Zn). In this paper, we determine the independence number of ℾ, (Zn). Also it is proved that ℾ, (Zn) is well-covered. Among other things, we provide condition under which ℾ, (Zn) is vertex decomposable.

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APA: Copy

Vafaei, Morteza, TEHRANIAN, ABOLFAZL, & NIKANDISH, REZA. (2020). A CLASS OF WELL-COVERED AND VERTEX DECOMPOSABLE GRAPHS ARISING FROM RINGS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 7(2), 79-91. SID. https://sid.ir/paper/1059267/en

Vancouver: Copy

Vafaei Morteza, TEHRANIAN ABOLFAZL, NIKANDISH REZA. A CLASS OF WELL-COVERED AND VERTEX DECOMPOSABLE GRAPHS ARISING FROM RINGS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2020;7(2):79-91. Available from: https://sid.ir/paper/1059267/en

IEEE: Copy

Morteza Vafaei, ABOLFAZL TEHRANIAN, and REZA NIKANDISH, “A CLASS OF WELL-COVERED AND VERTEX DECOMPOSABLE GRAPHS ARISING FROM RINGS,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 7, no. 2, pp. 79–91, 2020, [Online]. Available: https://sid.ir/paper/1059267/en

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