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Maximum induced forests of planar graphs

✍ Scribed by Jin Akiyama; Mamoru Watanabe


Publisher
Springer Japan
Year
1987
Tongue
English
Weight
80 KB
Volume
3
Category
Article
ISSN
0911-0119

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## Abstract For a graph __G__, let __a__(__G__) denote the maximum size of a subset of vertices that induces a forest. Suppose that __G__ is connected with __n__ vertices, __e__ edges, and maximum degree Ξ”. Our results include: (a) if Δ ≀ 3, and __G__ ≠ __K__~4~, then __a__(__G__) β‰₯ __n__β€‰βˆ’β€‰e/4β€‰βˆ’β€‰1