2019/04/16 by Chakraborty, Bidwan, Mandal, Mousumi · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1904.07717
Let G be a graph and I=I(G) be its edge ideal. When G 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 I and compute the Waldschmidt constant. When G is complete graph then we describe the generators of the symbolic powers of I and compute the Waldschmidt constant and the resurgence of I. Moreover for complete graph we prove that the Castelnuvo-Mumford regularity of the symbolic powers and ordinary powers of the edge ideal coincide.