Decomposition of product graphs into sunlet graphs of order eight

Year 2021, , 41 - 51, 15.01.2021

Kaliappan Sowndhariya Appu Muthusamy

https://doi.org/10.13069/jacodesmath.867617

Cited By: 1

Abstract

For any integer $k\geq 3$ , we define sunlet graph of order $2k$, denoted by $L_{2k}$, as the graph consisting of a cycle of length $k$ together with $k$ pendant vertices, each adjacent to exactly one vertex of the cycle. In this paper, we give necessary and sufficient conditions for the existence of $L_{8}$-decomposition of tensor product and wreath product of complete graphs.

Keywords

Graph decomposition, Product graphs, Corona graph, Sunlet graph

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