Graph coloring manifolds

Details Graph coloring manifolds Graph coloring manifolds

2005-10-09

arxiv.org/abs/math/0510177v2

Algebraic and Geometric Combinatorics, 51--69, Contemp. Math., 423, Amer. Math. Soc., Providence, RI, 2006

Mathematics

Combinatorics

19 pages; revised section 3; to appear in "Contemporary Mathematics"

Scientific paper

We introduce a new and rich class of graph coloring manifolds via the Hom
complex construction of Lovasz. The class comprises examples of Stiefel
manifolds, series of spheres and products of spheres, cubical surfaces, as well
as examples of Seifert manifolds. Asymptotically, graph coloring manifolds
provide examples of highly connected, highly symmetric manifolds.

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