Applications of matroid partition to tree decomposition (Q1568255)
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scientific article; zbMATH DE number 1462510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of matroid partition to tree decomposition |
scientific article; zbMATH DE number 1462510 |
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Applications of matroid partition to tree decomposition (English)
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29 November 2000
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Edmonds' matroid partition theorem is applied to obtain alternative proofs of two tree decomposition theorems due to Shi Minyong. As an application, a necessary and sufficient condition for a connected graph to have a tree decomposition into two trees of order \(n-1\) is derived.
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tree
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matroid
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partition
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decomposition
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