Large Sets of Wrapped K–K Hamilton Cycle Decompositions of Complete Bipartite 3‐Uniform Hypergraphs |
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| Authors: | Hongtao Zhao C. A. Rodger |
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| Affiliation: | 1. School of Mathematics and Physics, North China Electric Power University, P. R. ChinaContract grant sponsor: NSFC;2. contract grant numbers: 10901051, 11201143;3. contract grant sponsor: Fundamental Research Funds for the Central Universities;4. contract grant numbers: 13MS38, 2014ZZD10;5. contract grant sponsor: China Scholarship Council and the Co‐construction Project of Beijing Municipal Commission of Education.;6. Department of Mathematics and Statistics, 221 Parker Hall, Auburn University, Auburn |
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| Abstract: | Using 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  and their large sets, settling their existence whenever n is prime. |
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| Keywords: | large set Hamilton cycle Hamilton cycle decomposition complete bipartite 3‐uniform hypergraph |
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