Article ID Journal Published Year Pages File Type
4649318 Discrete Mathematics 2009 9 Pages PDF
Abstract

In this paper, we study Forman’s discrete Morse theory in the case where a group acts on the underlying complex. We generalize the notion of a Morse matching, and obtain a theory that can be used to simplify the description of the GG-homotopy type of a simplicial complex. As an application, we determine the C2×Sn−2C2×Sn−2-homotopy type of the complex of non-connected graphs on nn nodes.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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