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math.MG2010★ 7 cited
Polytopality and Cartesian products of graphs
Julian Pfeifle, Vincent Pilaud, Francisco Santos
We study the question of polytopality of graphs: when is a given graph the graph of a polytope? We first review the known necessary conditions for a graph to be polytopal, and we p…
math.MG2009★ 12 cited
Prodsimplicial-Neighborly Polytopes
Benjamin Matschke, Julian Pfeifle, Vincent Pilaud
Simultaneously generalizing both neighborly and neighborly cubical polytopes, we introduce PSN polytopes: their k-skeleton is combinatorially equivalent to that of a product of r s…