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The crossing number of cubes with small order

Published 17 Feb 2011 in math.CO | (1102.3483v2)

Abstract: The {\it crossing number} of a graph $G$ is the minimum number of pairwise intersections of edges in a drawing of $G$. In this paper, we give the exact values of crossing numbers for some variations of hypercube with order at most four, including crossed cube, locally twisted cube and M\"{o}bius cube.

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