Large Sets of Wrapped K–K Hamilton Cycle Decompositions of Complete Bipartite 3‐Uniform Hypergraphs

Publisher: John Wiley & Sons Inc

E-ISSN: 1520-6610|23|11|499-508

ISSN: 1063-8539

Source: JOURNAL OF COMBINATORIAL DESIGNS, Vol.23, Iss.11, 2015-11, pp. : 499-508

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Abstract

AbstractUsing the Katona–Kierstead (K–K) definition of a Hamilton cycle in a uniform hypergraph, we investigate the existence of wrapped K–K Hamilton cycle decompositions of the complete bipartite 3‐uniform hypergraph Kn,n(3) and their large sets, settling their existence whenever n is prime.