Edge Expansion of Cubical Complexes
Combinatorics
2007-05-23 v1
Abstract
In this paper we show that graphs of "neighbourly" cubical complexes -- cubical complexes in which every pair of vertices spans a (unique) cube -- have good expansion properties, using a technique based on multicommodity flows. By showing that graphs of stable set polytopes are graphs of neighbourly cubical complexes we give a new proof that graphs of stable set polytopes have edge expansion 1.
Keywords
Cite
@article{arxiv.math/0506478,
title = {Edge Expansion of Cubical Complexes},
author = {Thomas Voigt},
journal= {arXiv preprint arXiv:math/0506478},
year = {2007}
}
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8 pages