Odd-Cycle-Free Facet Complexes and the König property

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dc.creatorCaboara, Massimo
dc.creatorFaridi, Sara
dc.date2007-03-15
dc.date.accessioned2026-07-07T07:52:07Z
dc.date.available2026-07-07T07:52:07Z
dc.descriptionWe use the definition of a simplicial cycle to define an odd-cycle-free facet complex (hypergraph). These are facet complexes that do not contain any cycles of odd length. We show that besides one class of such facet complexes, all of them satisfy the König property. This new family of complexes includes the family of balanced hypergraphs, which are known to satisfy the König property. These facet complexes are, however, not Mengerian; we give an example to demonstrate this fact.
dc.description12 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/math/0703459
dc.identifierhttp://arxiv.org/abs/math/0703459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125763
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.titleOdd-Cycle-Free Facet Complexes and the König property
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