Symbolic powers of certain cover ideals of graphs

1 Mar 2019 · Arvind Kumar, Rajiv Kumar, Rajib Sarkar, S. Selvaraja ·

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.