The bounded-degree graph complexes were first introduced by Reiner and Roberts [J. Algebraic Combin. 11 (2000) 135-154]. They arise from the finite free resolution of quadratic Veronese rings and modules. We prove various results about the homotopy types of these complexes, and deduce corresponding
โฆ LIBER โฆ
Topology of matching, chessboard, and general bounded degree graph complexes
โ Scribed by MichelleL. Wachs
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 531 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0002-5240
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We present a technique for lifting results on the homology of matching complexes of certain types of graphs and hypergraphs to general bounded degree graph complexes. This technique is based on our observation that homological results of Bouc on matching complexes, of Reiner and Roberts on bounded d