Independence Polynomials and Some Related Issues

Tóm tắt báo cáo

In this talk, we give a brief introduction of independence polynomials of graphs in which we focus on its unimodal, log-concave and real-rooted properties. We further study the graphs by investigating its edge ideals and presenting some results related to the Cohen-Macaulayness and the Castelnuovo-Mumford regularity. Finally, we show a closed relation between independence polynomial of a graph G and h-polynomial of its independence complexes.