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- Title
# Invariants of the symbolic powers of edge ideals

- Authors
## Chakraborty, Bidwan; Mandal, Mousumi

- Abstract
## Let [Formula: see text] be a graph and [Formula: see text] be its edge ideal. When [Formula: see text] is the clique sum of two different length odd cycles joined at single vertex then we give an explicit description of the symbolic powers of [Formula: see text] and compute the Waldschmidt constant. When [Formula: see text] is complete graph then we describe the generators of the symbolic powers of [Formula: see text] and compute the Waldschmidt constant and the resurgence of [Formula: see text]. Moreover for complete graph we prove that the Castelnuovo–Mumford regularity of the symbolic powers and ordinary powers of the edge ideal coincide.

- Publication
## Journal of Algebra and Its Applications, 2020, Vol 19, Issue 10, p2050184

- ISSN
## 0219-4988

- DOI
## 10.1142/s0219498820501844