Title
Squarefree Powers Of Edge Ideals Of Forests
Abstract
Let I(G)([k]) denote the kth squarefree power of the edge ideal of G. When G is a forest, we provide a sharp upper bound for the regularity of I(G)([k]) in terms of the k-admissable matching number of G. For any positive integer k, we classify all forests G such that I(G)([k]) has linear resolution. We also give a combinatorial formula for the regularity of I(G)([2]) for any forest G.
Year
DOI
Venue
2021
10.37236/10038
ELECTRONIC JOURNAL OF COMBINATORICS
DocType
Volume
Issue
Journal
28
2
ISSN
Citations 
PageRank 
1077-8926
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Nursel Erey100.34
Takayuki Hibi29430.08