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Edge Expansion of Cubical Complexes

Thomas Voigt
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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.

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Thomas Voigt. 2005-06-23. Edge Expansion of Cubical Complexes. https://arxiv.org/abs/math/0506478

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