A characterisation of graphs having three pariwise compatible Euler tours (Q1264154)
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scientific article; zbMATH DE number 4128846
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterisation of graphs having three pariwise compatible Euler tours |
scientific article; zbMATH DE number 4128846 |
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A characterisation of graphs having three pariwise compatible Euler tours (English)
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1991
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Two Euler tours of a graph G are compatible if no pair of adjacent edges of G are consecutive in both tours. We obtain a good characterization for the graphs which contain three pairwise compatible Euler tours. As a corollary we deduce that the line graph of a 3-connected, 4-regular simple graph is decomposable into three edge-disjoint Hamilton circuits.
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isotropic systems
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Euler tours
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line graph
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edge-disjoint Hamilton circuits
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