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- W4366403216 abstract "Two perfect matchings P and Q of the complete graph on 2k vertices are said to be set-wise t-intersecting if there exist edges P1,⋯,Pt in P and Q1,⋯,Qt in Q such that the union of edges P1,⋯,Pt has the same set of vertices as the union of Q1,⋯,Qt has. In this paper we prove an extension of the famous Erdős-Ko-Rado (EKR) theorem to set-wise 2-intersecting families of perfect matching on all values of k, and we conjecture similar statement for all t≥2." @default.
- W4366403216 created "2023-04-21" @default.
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- W4366403216 date "2023-08-01" @default.
- W4366403216 modified "2023-09-27" @default.
- W4366403216 title "An extension of the Erdős-Ko-Rado theorem to set-wise 2-intersecting families of perfect matchings" @default.
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- W4366403216 doi "https://doi.org/10.1016/j.disc.2023.113444" @default.
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