Ball packings for links (Q2033894)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ball packings for links |
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Ball packings for links (English)
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18 June 2021
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The ball number of a link \(L\), denoted by \(ball(L)\), is the minimum number of solid balls (not necessarily of the same size) needed to realize a necklace representing \(L\). Let \(cr(L)\) be the crossing number of \(L\). Then it is proved that for any nontrivial nonsplittable link \(ball(L)\leq 5cr(L)\).
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links
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necklaces
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crossing number
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finite balls packings
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