Decomposition of product graphs into sunlet graphs of order eight

Authors

  • Sowndhariya Kaliappan Department of Mathematics, Periyar University, Salem, Tamil Nadu, India
  • Muthusamy Appu Department of Mathematics, Periyar University, Salem, Tamil Nadu, India https://orcid.org/0000-0001-9014-6916

DOI:

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

Keywords:

Graph decomposition, Product graphs, Corona graph, Sunlet graph

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.

Received: 31 March 2020 | Accepted: 25 September 2020

 

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Published

2021-01-25

How to Cite

Kaliappan, S. ., & Appu, M. (2021). Decomposition of product graphs into sunlet graphs of order eight. Journal of Algebra Combinatorics Discrete Structures and Applications, 8(1), 41–51. https://doi.org/10.13069/jacodesmath.867617

Issue

Vol. 8 Issue 1: January 2021

Section

Articles