6 research outputs found
Higher chordality: From graphs to complexes
We generalize the fundamental graph-theoretic notion of chordality for higher
dimensional simplicial complexes by putting it into a proper context within
homology theory. We generalize some of the classical results of graph
chordality to this generality, including the fundamental relation to the Leray
property and chordality theorems of Dirac.Comment: 13 pages, revised; to appear in Proc. AM