论文标题

亚地铁三角形图的11/4可亮性

11/4-colorability of subcubic triangle-free graphs

论文作者

Dvořák, Zdeněk, Lidický, Bernard, Postle, Luke

论文摘要

我们证明,最多两个例外,每个连接的亚地下三角形图最多都有分数色数。除非排除进一步的特殊图,否则这是紧密的,并改善了在无三角形平面图的分数色素上的已知结合。

We prove that up to two exceptions, every connected subcubic triangle-free graph has fractional chromatic number at most 11/4. This is tight unless further exceptional graphs are excluded, and improves the known bound on the fractional chromatic number of subcubic triangle-free planar graphs.

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