Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9513183 | Discrete Mathematics | 2005 | 23 Pages |
Abstract
This paper contains a survey of the A-theory of simplicial complexes and graphs, a combinatorial homotopy theory developed recently. The initial motivation arises from the use of simplicial complexes as models for a variety of complex systems and their dynamics. This theory diverges from classical homotopy theory in several crucial aspects. It is related to prior work in matroid theory, graph theory, and work on subspace arrangements.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hélène Barcelo, Reinhard Laubenbacher,