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Manifolds associated with (Z(2))(n+1)-colored regular graphs
Bao, Zhiqiang ; Lu, Zhi
2012
关键词Colored regular graph skeletal expansion EQUIVARIANT COHOMOLOGY TORUS ACTIONS RING CLASSIFICATION SPACES
英文摘要In this article we describe a canonical way to expand a certain kind of (Z(2))(n+1)-colored regular graphs into closed n-manifolds by adding cells determined by the edge-colorings inductively. We show that every closed combinatorial n-manifold can be obtained in this way. When n <= 3, we give simple equivalent conditions for a colored graph to admit an expansion. In addition, we show that if a (Z(2))(n+1)-colored regular graph admits an n-skeletal expansion, then it is realizable as the induced graph of an (n + 1)-dimensional closed (Z(2))(n+1)-manifold.; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 1; 121-149; 24
语种英语
出处SCI
出版者forum mathematicum
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/314410]  
专题数学科学学院
推荐引用方式
GB/T 7714
Bao, Zhiqiang,Lu, Zhi. Manifolds associated with (Z(2))(n+1)-colored regular graphs. 2012-01-01.
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