将无筝平面图划分为两个森林

Pub Date : 2023-12-12 DOI:10.1002/jgt.23062
Yang Wang, Yiqiao Wang, Ko-Wei Lih
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引用次数: 0

摘要

风筝图是四个顶点上去掉一条边的完整图。研究证明,每个没有风筝子图的平面图都可以划分为两个诱导森林。这解决了 Raspaud 和 Wang 在 2008 年提出的一个猜想。
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Partitioning kite-free planar graphs into two forests

A kite is a complete graph on four vertices with one edge removed. It is proved that every planar graph without a kite as subgraph can be partitioned into two induced forests. This resolves a conjecture of Raspaud and Wang in 2008.

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