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On cleaving a planar graph - MaRDI portal

On cleaving a planar graph (Q917567)

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scientific article; zbMATH DE number 4156459
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English
On cleaving a planar graph
scientific article; zbMATH DE number 4156459

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    On cleaving a planar graph (English)
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    1990
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    Let G be a planar n-vertex graph with non-negative vertex weights which sum to no more than 1. It is proved that G can be recursively separated into components of weight \(\leq \epsilon\) by removing \(4\sqrt{n/\epsilon}\) vertices. Applications to planar graphs with given radius are considered.
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    separation
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    vertex weights
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    planar graphs
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