| Monday 29 April 2024 | |
| Events for day: Thursday 03 March 2022 |
| 11:00 - 13:00 Commutative Algebra Webinar Closed Neighborhood Ideal of a Graph School MATHEMATICS Let G = (V, E) be a finite simple graph with the vertex set V = {x1, . . . , xn}. We identify the vertices of the graph with the variables in the polynomial ring R = k[x1, . . . , xn] where k is a fixed field. The closed neighborhood ideal of G denoted by NI(G), is defined as an ideal in R generated by all monomials of the form Q xj∈N[xi] xj , where xi ∈ V . Here N[xi] is the closed neighborhood of xi in G, which is the set {xi} ∪ {xj ; {xi, xj} ∈ E} In this talk we study some algebraic invariants of these ideals like CastelnuovoMumford regularity and projective dimension and present some combinatorial descript ... |