A note on intersecting hypergraphs with large cover number
We give a construction of r-partite r-uniform intersecting hypergraphs with cover number at least r − 4 for all but finitely many r. This answers a question of Abu-Khazneh, Barát, Pokrovskiy and Szabó, and shows that a long-standing unsolved conjecture due to Ryser is close to being best possible fo...
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| Materialtyp: | Journal article |
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Electronic Journal of Combinatorics
2017
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| Sammanfattning: | We give a construction of r-partite r-uniform intersecting hypergraphs with cover number at least r − 4 for all but finitely many r. This answers a question of Abu-Khazneh, Barát, Pokrovskiy and Szabó, and shows that a long-standing unsolved conjecture due to Ryser is close to being best possible for every value of r. |
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