@article{article_1056547, title={Decomposition of cartesian product of complete graphs into sunlet graphs of order eight}, journal={Journal of Algebra Combinatorics Discrete Structures and Applications}, volume={9}, pages={29–46}, DOI={10.13069/jacodesmath.1056547}, author={Sowndhariya, Kaliappan and Muthusamy, Appu}, keywords={Graph decomposition, Cartesian product, Corona graph, Sunlet graph}, abstract={For any integer $k\geq 3$, we define the sunlet graph of order $2k$, denoted by $L_{2k}$, as the graph consisting of a cycle of length $k$ together with $k$ pendant vertices such that, each pendant vertex adjacent to exactly one vertex of the cycle so that the degree of each vertex in the cycle is $3$. In this paper, we establish necessary and sufficient conditions for the existence of decomposition of the Cartesian product of complete graphs into sunlet graphs of order eight.}, number={1}, publisher={iPeak Academy}