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Adrian Riskin 《Graphs and Combinatorics》2005,21(1):131-135
We define a family of graph bundles over cycles which embed naturally on the Klein bottle and which are analogous to the celebrated toroidal grid graphs (cartesian product of a cycle with a cycle). We give a criterion for a polyhedral map on the Klein bottle to fail to embed on the torus, and use this to calculate toroidal crossing numbers of two one-parameter infinite families of our Kleinical graphs.Mathematics Subject Classification (1991): 05C10 相似文献
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