Topology of Colors (Extended Abstract)

Svante Linusson () and John Shareshian ()
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Svante Linusson: Stockholm University, Department of Mathematics
John Shareshian: University of Miami, Department of Mathematics and Computer Science

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 268-275 from Springer

Abstract: Abstract We study the simplicial complex of t-colorable graphs on n vertices. This complex is homotopy equivalent to a wedge of spheres all of dimension n (t − 1) − ( 2 t ) − 1 when t = 2 and when t ≥ n − 3. Such a homotopy equivalence does not hold for general t and n. The main tool in the proofs of our results is the discrete Morse theory of R. Forman. This is an extended abstract. The full version will appear elsewhere and can be obtained from the authors’ homepages at their respective institutions.

Keywords: Simplicial Complex; Chromatic Number; Homotopy Type; Face Lattice; Biconnected Graph (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_24

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DOI: 10.1007/978-3-662-04166-6_24

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