A characterization of a graph which has a 2-factor (Q1586304)
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scientific article; zbMATH DE number 1528566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of a graph which has a 2-factor |
scientific article; zbMATH DE number 1528566 |
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A characterization of a graph which has a 2-factor (English)
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13 November 2000
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For a graph \(G\) let FBUB\((G)\) be the sum of the number of vertices of odd degree and twice the number of isolated vertices in \(G\). Set \( \text{BUB}(G) = \min\{ \text{FBUB}(G') : G' \text{ spanning subgraph of } G\}\). The author proves that a graph \(G\) has a 2-factor if and only if BUB\((G-S) \leq 2|S|\) for every proper subset \(S\) of the vertex set of \(G\).
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2-factor of graphs
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characterization
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