Coxeter Complexes and Graph-Associahedra
| dc.creator | Carr, Michael | |
| dc.creator | Devadoss, Satyan L. | |
| dc.date | 2004-07-13 | |
| dc.date | 2005-12-09 | |
| dc.date.accessioned | 2026-07-07T06:38:39Z | |
| dc.date.available | 2026-07-07T06:38:39Z | |
| dc.description | Given a graph G, we construct a simple, convex polytope whose face poset is based on the connected subgraphs of G. This provides a natural generalization of the Stasheff associahedron and the Bott-Taubes cyclohedron. Moreover, we show that for any simplicial Coxeter system, the minimal blow-ups of its associated Coxeter complex has a tiling by graph-associahedra. The geometric and combinatorial properties of the complex as well as of the polyhedra are given. These spaces are natural generalizations of the Deligne-Knudsen-Mumford compactification of the real moduli space of curves. | |
| dc.description | 18 pages, 9 figures; revised content and references | |
| dc.identifier | https://arxiv.org/abs/math/0407229 | |
| dc.identifier | http://arxiv.org/abs/math/0407229 | |
| dc.identifier | Topology and its Applications, 153 (2006) 2155-2168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100815 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | Primary 14P25, Secondary 05B45, 52B11 | |
| dc.title | Coxeter Complexes and Graph-Associahedra | |
| dc.type | text |