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Induced forests in cubic graphs - MaRDI portal

Induced forests in cubic graphs (Q791532)

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scientific article; zbMATH DE number 3851113
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English
Induced forests in cubic graphs
scientific article; zbMATH DE number 3851113

    Statements

    Induced forests in cubic graphs (English)
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    1984
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    Let G be a graph with vertex set V(G). Denote \(f(G)=\max \quad \{| A| /| V(G)|;A\subset V(G),\) A induces a fores\(t\}\). The author derives bounds on f(G) and consequently calculates that lim \(\inf_{n\to \infty}\{f(G)\); G is a cubic graph with girth at least \(n\}\) equals to 3/4.
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    cubic graph
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    girth
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    forest
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    independence ratio
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