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图的循环定向
引用本文:邹腾.图的循环定向[J].四川大学学报(自然科学版),2010,47(2).
作者姓名:邹腾
摘    要:M.Barot,C.Geiss和A.Zelevinsky曾经给出了一个图是否可定向的判断 方法.该方法对图中所有圈上的边依次排序编号,然后考察不同的圈是否有不同 的极大边,或者是计算顶点、边、圈和连通分支间的数量关系.本文给出另外一 种判定方法,我们的方法主要是通过观察顶点之间的链进行.

关 键 词:Cluster代数  有限型    循环定向
收稿时间:2/4/2007 12:00:00 AM

Cyclical orientations of graphs
Zou Teng.Cyclical orientations of graphs[J].Journal of Sichuan University (Natural Science Edition),2010,47(2).
Authors:Zou Teng
Abstract:M.Barot, C.Geiss and A.Zelevinsky gave a method to decide whether a given graph can be cyclically oriented. Their method is either to consider the linear order of the edges such that different chordless cycles have different maximal edges,or to check the number relation among the amount of vertices, edges, cycles and connected components. In this paper , we give another method to decide whether a given graph can be cyclically oriented. Our method is to use the chains between two vertices.
Keywords:Cluster algebra  finite type  graph  cyclical orientation
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