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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. doi:10.1016/j.jcta.2012.01.009
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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, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Combinatorial Theory, Series A | ||||
| Publisher: | Elsevier BV | ||||
| ISSN: | 0097-3165 | ||||
| Official Date: | 2012 | ||||
| Dates: |
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| Volume: | Vol.119 | ||||
| Number: | No.5 | ||||
| Page Range: | pp. 1031-1047 | ||||
| DOI: | 10.1016/j.jcta.2012.01.009 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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