Factorizations of complete multipartite hypergraphs
نویسندگان
چکیده
منابع مشابه
Cyclic partitions of complete nonuniform hypergraphs and complete multipartite hypergraphs
A cyclic q-partition of a hypergraph (V,E) is a partition of the edge set E of the form {F, F , F θ 2 , . . . , F θ q−1 } for some permutation θ of the vertex set V . Let Vn = {1, 2, . . . , n}. For a positive integer k, ( Vn k ) denotes the set of all k-subsets of Vn. For a nonempty subset K of Vn−1, we let K n denote the hypergraph ( Vn, ⋃ k∈K ( Vn k )) . In this paper, we find a necessary an...
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A k-factor of a graph G is a k-regular spanning subgraph of G. A k-factorization is a partition of E(G) into k-factors. Let K(n, p) be the complete multipartite graph with p parts, each of size n. If V1, ..., Vp are the p parts of V (K(n, p)), then a holey k-factor of deficiency Vi of K(n, p) is a k-factor of K(n, p)− Vi for some i satisfying 1 ≤ i ≤ p. Hence a holey k-factorization is a set of...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2017
ISSN: 0012-365X
DOI: 10.1016/j.disc.2016.08.007