Edge ideals of squares of trees
Commutative Algebra
2020-04-01 v2 Combinatorics
Abstract
We describe all the trees with the property that the corresponding edge ideal of the square of the tree has a linear resolution. As a consequence, we give a complete characterization of those trees for which the square is co-chordal, that is the complement of the square, , is a chordal graph. For particular classes of trees such as paths and double brooms we determine the Krull dimension and the projective dimension.
Keywords
Cite
@article{arxiv.2003.10187,
title = {Edge ideals of squares of trees},
author = {Anda Olteanu},
journal= {arXiv preprint arXiv:2003.10187},
year = {2020}
}