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首页> 外文期刊>Hormone molecular biology and clinical investigation. >The Crossing Number of The Hexagonal Graph H3,n
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The Crossing Number of The Hexagonal Graph H3,n

机译：十字路口的六角图H3, n

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In [C. Thomassen, Tilings of the torus and the Klein bottle and vertex-transitive graphs on a fixed surface, Trans. Amer. Math. Soc. 323 (1991) 605–635], Thomassen described completely all (except finitely many) regular tilings of the torus S1 and the Klein bottle N2 into (3,6)-tilings, (4,4)-tilings and (6,3)-tilings. Many authors made great efforts to investigate the crossing number (in the plane) of the Cartesian product of an m-cycle and an n-cycle, which is a special (4,4)-tiling. For other tilings, there are quite rare results concerning on their crossing numbers. This motivates us in the paper to determine the crossing number of a hexagonal graph H3, n, which is a special kind of (3,6)-tilings.
机译：在[C。克莱因瓶和vertex-transitive图固定表面,反式。605 - 635], Thomassen完全描述(有限许多除外)普通的瓷砖环面S1和克莱因瓶N2(3.6) -tilings, (4,4) -tilings and (6.3) -tilings。许多作者努力调查十字路口(飞机)的数量笛卡儿积的m-cycle n-cycle,这是一个特殊的(4,4)瓷砖。瓷砖,有相当罕见的结果有关他们跨越数字。本文确定的交叉数六角图H3, n,这是一种特殊的(3.6) -tilings。

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