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For a ‐uniform hypergraph , let denote the minimum vertex degree of , and denote the size of the largest matching in . In this paper, we show that for any and , there exists an integer such that for positive integers and ...
Let $$\phi _H^r(n)$$ ϕ H r ( n ) be the smallest integer such that, for all r-graphs G on n vertices, the edge set E(G) can be partitioned into at most $$\phi _H^r(n)$$ ϕ H r ( n ) parts, of which every part either is a single edge or forms an r-graph isomorphic to H. The function $$\phi ^2_H(n)$$ ϕ H 2 ( n ) has been well studied in literature, but for the case...
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