Powers of the Vertex Cover Ideal of a Chordal Graph |
| |
| Authors: | Fatemeh Mohammadi |
| |
| Institution: | 1. Department of Pure Mathematics and Computer Science , Amirkabir University of Technology (Tehran Polytechnic) , Tehran , Iran fatemeh.mohammadi716@gmail.com |
| |
| Abstract: | In this article, Cohen–Macaulay chordal graphs and generalized star graphs are studied to show that all powers of the vertex cover ideal of such graphs have linear quotients. Moreover, it is shown that the Alexander dual of the clique complex of any chordal graph is vertex decomposable. |
| |
| Keywords: | Chordal graphs Componentwise linear resolution Vertex cover algebra |
|
|
