Edge Expansion of Cubical Complexes [article]

Thomas Voigt
2005 arXiv   pre-print
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.
arXiv:math/0506478v1 fatcat:dzled3pwrvc3rdfh4g4tqkjwae