Bipolarizable graphs (Q912868)
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scientific article; zbMATH DE number 4145949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bipolarizable graphs |
scientific article; zbMATH DE number 4145949 |
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Bipolarizable graphs (English)
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1990
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Perfectly orderable graphs are those for which an order of the nodes can be found such that for any subgraph \(G'\) of G the sequential node coloring algorithm (``always use the smaller possible colour'') gives an optimal coloring for \(G'\). Bipolarisable graphs admit a perfect order such that for any chain \(P_ 4(a,b,c,d)\) of 4 nodes we have \(a>b\) and \(c<d\). This class of perfectly orderable graphs is compared with other known classes of perfectly orderable graph.
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Perfectly orderable graphs
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sequential node coloring algorithm
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Bipolarisable graphs
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0.8929203
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