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A Condition for a Normal Semicycle to Separate an Orientable 3-Graph

机译:普通半脚踏车的条件分离可定向的3图

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In (1) it is proved that a b-cycle separates a 3-graph if and only if it induces a normal b-cycle whose sides are not linked by a semi-path. Here we present a new condition for a normal semicycle to separate an orientable 3-graph. It is an attempt to encapsulate the topological idea that if a simple closed curve C does not separate a surface into two regions, then any two points not on C may be joined by another curve which crosses C an even number of times.
机译:在(1)中,证明了B循环如果且仅当它引起侧面未被半路径链接的正常B周期,则仅为3图。 在这里,我们为普通半覆盖了一个新的条件,以分离可定向的3图。 它试图封装拓扑思想,即如果简单的闭合曲线C不将表面分成两个区域,则不在C上的任何两个点可以由另一个曲线连接,该曲线交叉C偶数次数。

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