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arXiv · 2303.04648

(I,F)-partition of planar graphs without cycles of length 4, 6, or 9

Yingli Kang·Hongkai Lu·Ligang Jin
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Abstract

A graph $G$ is $(I,F)$-partitionable if its vertex set can be partitioned into two parts such that one part is an independent set, and the other induces a forest. In this paper, we prove that every planar graph without cycles of length $4, 6, 9$ is $(I,F)$-partitionable.

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Yingli Kang, Hongkai Lu, Ligang Jin. 2023-03-08. (I,F)-partition of planar graphs without cycles of length 4, 6, or 9. https://arxiv.org/abs/2303.04648

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