Connectivity of pseudomanifold graphs from an algebraic point of view
Combinatorics
2014-11-12 v3 Commutative Algebra
Abstract
The connectivity of graphs of simplicial and polytopal complexes is a classical subject going back at least to Steinitz, and the topic has since been studied by many authors, including Balinski, Barnette, Athanasiadis and Bjorner. In this note, we provide a unifying approach which allows us to obtain more general results. Moreover, we provide a relation to commutative algebra by relating connectivity problems to graded Betti numbers of the associated Stanley--Reisner rings.
Keywords
Cite
@article{arxiv.1409.6657,
title = {Connectivity of pseudomanifold graphs from an algebraic point of view},
author = {Karim A. Adiprasito and Afshin Goodarzi and Matteo Varbaro},
journal= {arXiv preprint arXiv:1409.6657},
year = {2014}
}
Comments
4 pages, minor changes