2007/03/15 by Massimo Caboara, Caboara, Massimo, Sara Faridi +1
Chemistry · Computer Science · Mathematics · #Axial and Atropisomeric Chirality Synthesis #Commutative Algebra and Its Applications #Topological and Geometric Data Analysis #math.AC #math.CO
paper · pdf · doi:10.48550/arxiv.math/0703459
12 pages, 11 figures
arxiv created 2007/03/15 · arxiv updated 2009/12/01
We 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.