Castelnuovo-Mumford regularity of edge ideal of graphs
Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3786
dept.math [at] unitn.it
Luogo: Aula Seminari “-1” – Dipartimento di Matematica
- Relatore: Siamak Yassemi (University of Teheran)
Abstract: Let G be a graph with n vertices, S= K[x1,...,xn] be the polynomial ring in n variables over a field K and I(G) denote the edge ideal of G. For every collection H of connected graphs with K2 in H, we introduce the notions of ind-matchH(G) and min-matchH(G).
We will improve the inequalities for regularity of S/I(G). Moreover, we will discuss about Cohen-Macaulayness of a graph with girth at least five. Furthermore, we will give some results on a pawfree and doubly Cohen-Macaulay graph.
Referente: Giancarlo Rinaldo