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.
Bibliographical notePublisher Copyright:
© 2016 American Mathematical Society.
- Castelnuovo-Mumford regularity
- Chordal graph
- Leray property
- Simplicial complex