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Acta Mathematica Vietnamica

Symbolic Powers of Certain Cover Ideals of Graphs

Arvind Kumar , Rajiv Kumar , Rajib Sarkar , icon-email S. Selvaraja

Abstract

In this paper, we compute the regularity and Hilbert series of symbolic powers of 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.