Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1099.52001
Carr, Michael; Devadoss, Satyan L.
Coxeter complexes and graph-associahedra. (English)
[J] Topology Appl. 153, No. 12, 2155-2168 (2006). ISSN 0166-8641

The authors suggest a construction of a simple convex polytope, called graph-associahedra, which is associated with a given graph $\Gamma$ and whose face partial order coincides with the partial order of sets of connected subgraphs of $\Gamma$. This construction includes as particular cases the Stasheff associahedron and the Bott-Taubes cyclohedron. In case of simplicial Coxeter groups and respective Coxeter complexes the graph-associahedron represents its fundamental domain. Furthermore, the minimal blow-ups of such Coxeter complexes have tiling by graph-associahedra, which can be viewed as a generalization of the Deligne-Knudsen-Mumford compactification of the real moduli space of rational curves with marked points.
[Eugenii I. Shustin (Tel Aviv)]

MSC 2000:: *52B05 Combinatorial properties of convex sets
05B45 Tessellation and tiling problems
05C70 Factorization, etc.

Keywords: minimal blow-ups

Cited in: Zbl 1231.52001

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]