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Cites:

Information Journal Paper

Title

SOME ASPECTS OF UNITARY ADDITION CAYLEY GRAPH OF EISENSTEIN INTEGERS MODULO n

Pages

  121-132

Abstract

 The Unitary addition Cayley graph Gn[ω, ] of Eisenstein integers modulo n has the vertex set En[ω, ], the set of Eisenstein integers modulo n. Any two vertices x = a1 + ω, b1, y = a2 + ω, b2 of Gn[ω, ] are adjacent if and only if gcd(N(x + y), n) = 1, where N is the norm of any element of En[ω, ] given by N(a + ω, b) = a2 + b2 −,ab. In this paper we obtain some basic graph invariants such as degree of the vertices, number of edges, Diameter, Girth, Clique number and Chromatic number of Unitary addition Cayley graph of Eisenstein integers modulo n. This paper also focuses on determining the Independence number of the above mentioned graph.

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    • Cite

    APA: Copy

    Roy, Joy, & Patra, Kuntala. (2022). SOME ASPECTS OF UNITARY ADDITION CAYLEY GRAPH OF EISENSTEIN INTEGERS MODULO n. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 9(1), 121-132. SID. https://sid.ir/paper/1059390/en

    Vancouver: Copy

    Roy Joy, Patra Kuntala. SOME ASPECTS OF UNITARY ADDITION CAYLEY GRAPH OF EISENSTEIN INTEGERS MODULO n. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2022;9(1):121-132. Available from: https://sid.ir/paper/1059390/en

    IEEE: Copy

    Joy Roy, and Kuntala Patra, “SOME ASPECTS OF UNITARY ADDITION CAYLEY GRAPH OF EISENSTEIN INTEGERS MODULO n,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 9, no. 1, pp. 121–132, 2022, [Online]. Available: https://sid.ir/paper/1059390/en

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