Symbolic powers of cover ideals of graphs and Koszul property
We show that attaching a whisker (or a pendant) at the vertices of a cycle cover of a graph results in a new graph with the following property: all symbolic powers of its cover ideal are Koszul or, equivalently, componentwise linear. This extends previous work where the whiskers were added to all vertices or to the vertices of a vertex cover of the graph.
2007 ◽
Vol 210
(1)
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pp. 304-322
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2020 ◽
Vol 30
(06)
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pp. 1167-1183
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2020 ◽
Vol E103.A
(10)
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pp. 1193-1201
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2010 ◽
Vol 22
(4)
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pp. 663-673
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Keyword(s):