ar X iv : m at h / 97 05 21 9 v 1 [ m at h . C O ] 1 1 M ay 1 99 7 COMPLEXES OF NOT i - CONNECTED GRAPHS

Abstract

Complexes of (not) connected graphs, hypergraphs and their homology appear in the construction of knot invariants given by V. Vassiliev [V1, V2, V3]. In this paper we study the complexes of not i-connected k-hypergraphs on n vertices. We show that the complex of not 2-connected graphs has the homotopy type of a wedge of (n − 2)! spheres of dimension 2n − 5… (More)

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@inproceedings{Welker1999arXI, title={ar X iv : m at h / 97 05 21 9 v 1 [ m at h . C O ] 1 1 M ay 1 99 7 COMPLEXES OF NOT i - CONNECTED GRAPHS}, author={Volkmar Welker}, year={1999} }