Invariants of Graphs, Their Associated Clique Complexes and Right-Angled Coxeter Groups

Invariants of Graphs, Their Associated Clique Complexes and Right-Angled... - Michael Davis

Michael Davis
The Ohio State University; Member, School of Mathematics
October 19, 2010

Associated to any simplicial graph there is a right-angled Coxeter group. Invariants of the Coxeter group such as its growth series or its weighted L^2 Betti numbers can be computed from the graph's clique complex (i.e., its flag complex).