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An El-Zahar Type Theorem in $3$-graphs under Codegree Condition

An El-Zahar Type Theorem in $3$-graphs under Codegree Condition

A $3$-uniform loose cycle, denoted by $C_t$, is a $t$-vertex 3-uniform hypergraph whose vertices can be ordered cyclically in such a way that the hyperedges are sets of consecutive three vertices and every two consecutive hyperedges share exactly one vertex. The length of $C_t$ is the number of its edges. …