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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

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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
Dates:
DateEvent
2012Published
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

Data sourced from Thomson Reuters' Web of Knowledge

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