Bounds on the chromatic number of intersection graphs of sets in the plane (Q1868853)
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scientific article; zbMATH DE number 1901902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds on the chromatic number of intersection graphs of sets in the plane |
scientific article; zbMATH DE number 1901902 |
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Bounds on the chromatic number of intersection graphs of sets in the plane (English)
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28 April 2003
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It is shown that the chromatic number of intersection graphs of congruent geometric figures obtained by translations of a fixed figure in the plane is bounded by the clique number. Further, it is proved that the triangle-free intersection graph of a finite number of compact connected sets with piecewise differentiable Jordan curve boundaries is planar and hence, is 3-colorable.
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coloring
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intersection graph
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clique number
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compact connected set
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