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- W3157052483 abstract "A well-known result of Bollobás says that if {(Ai,Bi)}i=1m is a set pair system such that |Ai|≤a and |Bi|≤b for 1≤i≤m, and Ai∩Bj≠0̸ if and only if i≠j, then m≤a+ba. Füredi, Gyárfás and Király recently initiated the study of such systems with the additional property that |Ai∩Bj|=1 for all i≠j. Confirming a conjecture of theirs, we show that this extra condition allows an improvement of the upper bound (at least) by a constant factor." @default.
- W3157052483 created "2021-05-10" @default.
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- W3157052483 date "2021-08-01" @default.
- W3157052483 modified "2023-09-25" @default.
- W3157052483 title "A bound for 1-cross intersecting set pair systems" @default.
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- W3157052483 doi "https://doi.org/10.1016/j.ejc.2021.103345" @default.
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