English

Clique complexes and graph powers

Combinatorics 2015-03-19 v3 Algebraic Topology

Abstract

We study the behaviour of clique complexes of graphs under the operation of taking graph powers. As an example we compute the clique complexes of powers of cycles, or, in other words, the independence complexes of circular complete graphs.

Keywords

Cite

@article{arxiv.1104.0433,
  title  = {Clique complexes and graph powers},
  author = {Michal Adamaszek},
  journal= {arXiv preprint arXiv:1104.0433},
  year   = {2015}
}

Comments

V3: final version

R2 v1 2026-06-21T17:48:50.045Z