Splittings of independence complexes and the powers of cycles
Combinatorics
2012-03-06 v4 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1106.6250,
title = {Splittings of independence complexes and the powers of cycles},
author = {Michal Adamaszek},
journal= {arXiv preprint arXiv:1106.6250},
year = {2012}
}
Comments
V4: final version