Erdős-Ko-Rado-type theorems for colored sets (Q870050)
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scientific article; zbMATH DE number 5132835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Erdős-Ko-Rado-type theorems for colored sets |
scientific article; zbMATH DE number 5132835 |
Statements
Erdős-Ko-Rado-type theorems for colored sets (English)
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12 March 2007
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Summary: An Erdős-Ko-Rado-type theorem was established by Bollobás and Leader for \(q\)-signed sets and by Ku and Leader for partial permutations. In this paper, we establish an LYM-type inequality for partial permutations, and prove Ku and Leader's conjecture on maximal \(k\)-uniform intersecting families of partial permutations. Similar results on general colored sets are presented.
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LYM-type inequality
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partial permutations
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