A Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture

dc.creatorSullivan, Blair Dowling
dc.date2006-05-24
dc.date.accessioned2026-07-07T07:14:30Z
dc.date.available2026-07-07T07:14:30Z
dc.descriptionThis paper is an attempt to survey the current state of our knowledge on the Caccetta-Haggkvist conjecture and related questions. In January 2006 there was a workshop hosted by the American Institute of Mathematics in Palo Alto, on the Caccetta-Haggkvist conjecture, and this paper partly originated there, as a summary of the open problems and partial results presented at the workshop. This summary includes results and open problems related to Caccetta-Haggkvist, Seymour's Second Neighborhood Conjecture, the k/2 Conjecture (for nonedges), and connections with algebraic number theory through Cayley graphs, along with a number of other related topics.
dc.description14 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0605646
dc.identifierhttp://arxiv.org/abs/math/0605646
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112901
dc.subjectCombinatorics
dc.subject05C38 (Primary) 05C20, 05C25 (Secondary)
dc.titleA Summary of Problems and Results related to the Caccetta-Haggkvist Conjecture
dc.typetext

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