Jackson's Hamilton decomposition conjecture for regular bipartite tournaments
Jackson's Hamilton decomposition conjecture for regular bipartite tournaments
A regular bipartite tournament is an orientation of the complete balanced bipartite graph in which every vertex has indegree and outdegree . A Hamilton decomposition is a decomposition of all directed edges into Hamilton cycles. Jackson's conjecture. Any regular bipartite tournament can be decomposed into Hamilton cycles. Jackson's conjecture concerns the existence of a spanning cycle decomposition in the most balanced bipartite tournament setting. Jackson proved that every regular bipartite tournament is Hamiltonian; the decomposition assertion is the remaining conjectural strengthening addressed by this paper.
Sources & referencesView supporting material
Primary source
Bertille Granet, “Hamilton decompositions of regular bipartite tournaments”, arXiv:2209.02988 (2022).
Additional references
5 papers in this index state this conjecture (2009–2022). The statement above is taken from the most recent of them; the others are arXiv:1907.08479, arXiv:1402.4268, arXiv:1203.0659, arXiv:0908.3411.
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