The crossing number of cubes with small order

Details The crossing number of cubes with small order The crossing number of cubes with small order

2011-02-17

arxiv.org/abs/1102.3483v1

Mathematics

Combinatorics

38 pages, 49 figures

Scientific paper

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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