论文标题

司额最长路径横向

Sublinear Longest Path Transversals

论文作者

Long Jr., James A., Milans, Kevin G., Munaro, Andrea

论文摘要

我们表明,连接的图允许均值最长的路径横向。这改善了Rautenbach和Sereni的较早结果,并且与五十岁的问题有关,即连接的图是否允许最长的恒定路径横向。相同的技术使我们能够证明$ 2 $连接的图形允许均值最长的循环横向。

We show that connected graphs admit sublinear longest path transversals. This improves an earlier result of Rautenbach and Sereni and is related to the fifty-year-old question of whether connected graphs admit longest path transversals of constant size. The same technique allows us to show that $2$-connected graphs admit sublinear longest cycle transversals.

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