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Graphs which are locally a cube
Authors:Dominique Buset
Institution:Université Libre de Bruxelles, Département de Mathématique, C.P. 216, Boulevard du Triomphe, B-1050 Bruxelles, Belgique, Belgium
Abstract:We prove that there are exactly two connected graphs which are locally a cube: a graph on 15 vertices which is the complement of the (3×5)-grid and a graph on 24 vertices which is the 1-skeleton of a certain 4-dimensional regular polytope called the 24-cell.
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