The orientability of small covers and coloring simple polytopes

zbMath1065.05041MaRDI QIDQ1775268

Hisashi Nakayama, Yasuzo Nishimura

Publication date: 6 May 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convex polytopecoloringsmall covercolored polytope

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Coloring of graphs and hypergraphs (05C15)

Related Items (20)

Orientable small covers over a product space ⋮ Mirror symmetries of hyperbolic tetrahedral manifolds ⋮ Lower bounds in real algebraic geometry and orientability of real toric varieties ⋮ Operations on 3-dimensional small covers ⋮ Haken 3-manifolds in small covers ⋮ On the constructions of free and locally standard \(\mathbb{Z}_{2}\)-torus actions on manifolds ⋮ Spin structures on generalized real Bott manifolds ⋮ Geometrically bounding 3-manifolds, volume and Betti numbers ⋮ Right-angled polyhedra and hyperbolic 3-manifolds ⋮ Cohomological rigidity and the number of homeomorphism types for small covers over prisms ⋮ The number of orientable small covers over cubes ⋮ Small covers over products of a simple polytope with a simplex ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ The second Stiefel-Whitney class of small covers ⋮ A note on small covers over cubes ⋮ Results on the topology of generalized real Bott manifolds ⋮ On the topology of real Bott manifolds ⋮ Orientable hyperbolic 4-manifolds over the 120-cell ⋮ Fundamental groups of three-dimensional small covers ⋮ Some hyperbolic three-manifolds that bound geometrically

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