Neighborhood conditions and \(k\)-factors (Q1382850)
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scientific article; zbMATH DE number 1130806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Neighborhood conditions and \(k\)-factors |
scientific article; zbMATH DE number 1130806 |
Statements
Neighborhood conditions and \(k\)-factors (English)
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5 October 1998
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A \(k\)-factor of a graph \(G\) is a spanning subgraph which is regular of degree \(k\). The authors give conditions involving a lower bound on the order \(n\) of \(G\), the parity of \(kn\), the minmum degree of \(G\), and the cardinalities of the unions of neighborhoods of non-adjacent vertices which guarantee that \(G\) has a \(k\)-factor.
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\(k\)-factor
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