Binomial edge ideals with pure resolutions
Combinatorics
2014-01-22 v1 Commutative Algebra
Abstract
We characterize all graphs whose binomial edge ideals have pure resolutions. Moreover, we introduce a new switching of graphs which does not change some algebraic invariants of graphs, and using this, we study the linear strand of the binomial edge ideals for some classes of graphs. Also, we pose a conjecture on the linear strand of such ideals for every graph.
Cite
@article{arxiv.1401.4817,
title = {Binomial edge ideals with pure resolutions},
author = {Dariush Kiani and Sara Saeedi Madani},
journal= {arXiv preprint arXiv:1401.4817},
year = {2014}
}
Comments
10 pages, 8 figures, To appear in Collectanea Math