Gallai's conjecture for disconnected graphs (Q1970699)
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scientific article; zbMATH DE number 1420374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gallai's conjecture for disconnected graphs |
scientific article; zbMATH DE number 1420374 |
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Gallai's conjecture for disconnected graphs (English)
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28 August 2000
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The authors prove that the minimum number of paths needed to partition the edge set of a graph is at most \( u/2 + \lfloor 2g/3 \rfloor\) where \(u\) is the number of vertices of odd degrees and \(g\) is the number of nonisolated vertices of even degrees.
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Gallai's conjecture
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path number
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cycle number
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graph decomposition
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