Decomposition of complete tripartite graphs into cycles and paths of length three

Shanmugasundaram Priyadarsini & Appu Muthusamy
Let $C_{k}$ and $P_{k}$ denote a cycle and a path on $k$ vertices, respectively. In this paper, we obtain necessary and sufficient conditions for the decomposition of $K_{{r},{s},{t}}$ into $p$ copies of $C_{3}$ and $q$ copies of $P_{4}$ for all possible values of $p$, $q\geq0$.
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