Higher chordality: From graphs to complexes
Combinatorics
2015-10-29 v3 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.1503.05620,
title = {Higher chordality: From graphs to complexes},
author = {Karim A. Adiprasito and Eran Nevo and Jose A. Samper},
journal= {arXiv preprint arXiv:1503.05620},
year = {2015}
}
Comments
13 pages, revised; to appear in Proc. AMS