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math.CO2012
Meunier Conjecture
Eric Babson
Frédéric Meunier's question about a multicolored Sperner lemma is addressed, leaving the question of connectivity for the color hypergraphs of such a multicolored simplex. Sperner'…
math.CO2012★ 1 cited
Random Walks and Mixed Volumes of Hypersimplices
Eric Babson, Einar Steingrimsson
Below is a method for relating a mixed volume computation for polytopes sharing many facet directions to a symmetric random walk. The example of permutahedra and particularly hyper…
math.CO2012★ 11 cited
Fundamental Groups of Random Clique Complexes
Eric Babson
Clique complexes of Erdős-Rényi random graphs with edge probability between and are shown to be aas not simply connected. This entails showing t…