Abstract | ||
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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 |
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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 Erey | 1 | 0 | 0.34 |
Takayuki Hibi | 2 | 94 | 30.08 |