On an estimate of the size of the maximum matching for a family of disjoint compact convex sets in the plane (Q5951972)
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scientific article; zbMATH DE number 1687498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an estimate of the size of the maximum matching for a family of disjoint compact convex sets in the plane |
scientific article; zbMATH DE number 1687498 |
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On an estimate of the size of the maximum matching for a family of disjoint compact convex sets in the plane (English)
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2001
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computational geometry
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matching
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visibility graph
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0.88143206
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0.87001026
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0.8695533
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0.8664851
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0.8629905
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0.85953176
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0.8590187
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Consider \(2n\) disjoint compact convex sets in the plane all having the same width in some direction.NEWLINENEWLINENEWLINEThe author's main theorem says that always \([2n/3]\) pairs of the sets can be matched by disjoint line segments and that it is possible that not more than \([4n/5]\) pairs can be matched.NEWLINENEWLINENEWLINEThe paper ends with two conjectures.
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