SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS

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TAMIZH CHELVAM T.; SATTANATHAN M.

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Journal: TRANSACTIONS ON COMBINATORICS Year:2012 | Volume:1 | Issue:3 Page(s): 5-10

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Information Journal Paper

Title

SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS

Author(s)

TAMIZH CHELVAM T. | SATTANATHAN M. | Issue Writer Certificate

Keywords

SUBGROUP INTERSECTION GRAPHQ2

FINITE ABELIAN GROUPSQ2

INDEPENDENCE NUMBERQ2

Abstract

Let G be a finite group with the identity e. The SUBGROUP INTERSECTION GRAPH GSI (G) of G is the graph with vertex set V (GSI (G)) =G-e and two distinct vertices x and y are adjacent in GSI (G) if and only if |áxñՈáyñ|>1, where áxñ is the cyclic subgroup of G generated by xÎG. In this paper, we obtain a lower bound for the INDEPENDENCE NUMBER of SUBGROUP INTERSECTION GRAPH. We characterize certain classes of SUBGROUP INTERSECTION GRAPHs corresponding to FINITE ABELIAN GROUPS. Finally, we characterize groups whose automorphism group is the same as that of its SUBGROUP INTERSECTION GRAPH.

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APA: Copy

TAMIZH CHELVAM, T., & SATTANATHAN, M.. (2012). SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS. TRANSACTIONS ON COMBINATORICS, 1(3), 5-10. SID. https://sid.ir/paper/213779/en

Vancouver: Copy

TAMIZH CHELVAM T., SATTANATHAN M.. SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS. TRANSACTIONS ON COMBINATORICS[Internet]. 2012;1(3):5-10. Available from: https://sid.ir/paper/213779/en

IEEE: Copy

T. TAMIZH CHELVAM, and M. SATTANATHAN, “SUBGROUP INTERSECTION GRAPH OF FINITE ABELIAN GROUPS,” TRANSACTIONS ON COMBINATORICS, vol. 1, no. 3, pp. 5–10, 2012, [Online]. Available: https://sid.ir/paper/213779/en

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