论文标题

平面图的3级诱导子图

3-degenerate induced subgraph of a planar graph

论文作者

Gu, Y., Kierstead, H. A., Oum, Sang-il, Qi, Hao, Zhu, Xuding

论文摘要

图形$ g $是$ d $ degenerate,如果每个非零子图$ g $最多都有$ d $的顶点。 我们证明,每个$ n $ vertex Planar图都有$ 3 $ - 定位诱导的订单子图,至少$ 3N/4 $。

A graph $G$ is $d$-degenerate if every non-null subgraph of $G$ has a vertex of degree at most $d$. We prove that every $n$-vertex planar graph has a $3$-degenerate induced subgraph of order at least $3n/4$.

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