# Decomposition of Cartesian Product of Complete Graphs into Sunlet Graphs of Order Eight

## TL;DR

This paper establishes the precise conditions under which the Cartesian product of complete graphs can be decomposed into sunlet graphs of order eight, contributing to graph decomposition theory.

## Contribution

It provides necessary and sufficient conditions for decomposing Cartesian products of complete graphs into sunlet graphs of order eight.

## Key findings

- Derived conditions for decomposition existence
- Characterized the structure of such decompositions
- Extended understanding of graph decomposition patterns

## Abstract

we define the sunlet graph is the graph obtained by taking one copy of the cycle and joined every vertex of the cycle to an exactly one pendant vertex such that the degree of each vertex in the cycle is three. In this paper, we establish necessary and sufficient conditions for the existence of decomposition of the Cartesian product of complete graphs into sunlet graph of order eight.