Homotopy types of independence complexes of forests

Authors

  • Kazuhiro Kawamura

DOI:

https://doi.org/10.11575/cdm.v5i2.62064

Abstract

Ehrenborg and Hetyei proved that the independence complex of an arbitrary forest is either contractible or homotopy equivalent to a sphere. The present paper provides an inductive method of detecting the contractibility of the complex or the dimension of the sphere to which the complex is homotopy equivalent.

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Published

2010-09-28

Issue

Section

Articles