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arXiv 1702.04313math.CO
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完全二部图的终偶性

Terminal-Pairability in Complete Bipartite Graphs

Lucas Colucci, Péter L. Erdős, Ervin Győri, Tamás Róbert Mezei

摘要:

研究了当基图是完全二部图,而需求图也是二部图且具有相同颜色类时的终端配对问题。我们改进了$Δ(D)$的最大值的下界,这仍然保证了需求图$D$在此设置中是终端可配对的。我们还证明了一个尖锐的定理的最大数量的边缘,这样的需求图可以有。

英文摘要:

We investigate the terminal-pairibility problem in the case when the base graph is a complete bipartite graph, and the demand graph is also bipartite with the same color classes. We improve the lower bound on maximum value of $Δ(D)$ which still guarantees that the demand graph $D$ is terminal-pairable in this setting. We also prove a sharp theorem on the maximum number of edges such a demand graph can have.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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