Maximum induced forests of planar graphs (Q1107540)
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scientific article; zbMATH DE number 4065012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum induced forests of planar graphs |
scientific article; zbMATH DE number 4065012 |
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Maximum induced forests of planar graphs (English)
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1987
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We propose following two conjectures: 1) If G is a planar graph of order \(n\geq 4\), then there exist \(\lceil \frac{n}{2}\rceil\) vertices in G which induce a forest. 2) If G is a planar graph of order n, then it has a stable set with \(\lceil \frac{n}{4}\rceil\) vertices.
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planar graph
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forest
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stable set
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0.94195384
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0.94126964
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0.9399795
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0.92991287
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0.92972374
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