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...
| मुख्य लेखकों: | , |
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| स्वरूप: | Journal article |
| प्रकाशित: |
Electronic Journal of Combinatorics
2017
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| सारांश: | 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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