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Symbolic powers of certain cover ideals of graphs

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arxiv 1903.00178 v2 pith:RX23BHDY submitted 2019-03-01 math.AC

Arvind Kumar , Rajiv Kumar , Rajib Sarkar , S. Selvaraja This is my paper · ORCID
classification math.AC
keywords covergraphpowerssymboliccomputeidealscertaincomplete
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abstract

In this paper, we compute the regularity and Hilbert series of symbolic powers of the cover ideal of a graph $G$ when $G$ is either a crown graph or a complete multipartite graph. We also compute the multiplicity of symbolic powers of cover ideals in terms of the number of edges.

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