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- W3048587495 abstract "We study pairs of graphs (H1, H2) such that every graph with the densities of H1 and H2 close to the densities ofH1andH2in a random graph is quasi random; such pairs (H1, H2) are called forcing. Non-bipartite forcing pairs were first discovered by Conlon, Han, Person and Schacht [Weak quasi-randomness for uniform hypergraphs, Random Structures Algorithms 40(2012), no. 1, 1–38]: they showed that (Kt, F) is forcing where F is the graph that arises from Kt by iteratively doubling its vertices and edges in a prescribed way t times. Reiher and Schacht [Forcing quasirandomness with triangles, Forum of Mathematics, Sigma. Vol.7, 2019] strengthened this result for t= 3 by proving that two doublings suffice and asked for the minimum number of doublings needed fort >3.We show that⌈(t+ 1)/2⌉doublings always suffice." @default.
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- W3048587495 date "2019-05-07" @default.
- W3048587495 modified "2023-10-09" @default.
- W3048587495 title "Person : more non-bipartite forcing pairs" @default.
- W3048587495 hasPublicationYear "2019" @default.
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