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Neighborhood Complexes of Stable Kneser Graphs
Combinatorica, 2003The stable Kneser graph \(\mathrm{SG}_{n,k}\) consists of those \(n\)-element subsets of the cyclically ordered set \(\{1,\dots,2n+k\}\) which contain no 2 consecutive elements, with two such \(n\)-sets joined if and only if they are disjoint. It is shown that the neighborhood complex of \(\mathrm{SG}_{n,k}\) is homotopy equivalent to the sphere ...
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2000Subspace Arrangements A subspace arrangement is a finite family of subspaces of euclidean space R^n. The combinatorics and topology of complements of such arrangements are well studied objects and enjoy a long history of research. Chapter 1 of the present thesis gives a complete description of the multiplication of the integral cohomology ring of a ...
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