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Splittings of independence complexes and the powers of cycles
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Adamaszek, Michał. (2012) Splittings of independence complexes and the powers of cycles. Journal of Combinatorial Theory, Series A, Vol.119 (No.5). pp. 1031-1047. ISSN 0097-3165
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Official URL: http://dx.doi.org/10.1016/j.jcta.2012.01.009
Abstract
We use two cofibre sequences to identify some combinatorial situations when the independence complex of a graph splits into a wedge sum of smaller independence complexes. Our main application is to give a recursive relation for the homotopy types of the independence complexes of powers of cycles, which answers an open question of D. Kozlov.
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of Combinatorial Theory, Series A |
| Publisher: | Elsevier BV |
| ISSN: | 0097-3165 |
| Official Date: | 2012 |
| Volume: | Vol.119 |
| Number: | No.5 |
| Page Range: | pp. 1031-1047 |
| Identification Number: | 10.1016/j.jcta.2012.01.009 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/44745 |
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