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Sperner systems with restricted differences
Zixiang Xu, Chi Hoi Yip
Let be a family of subsets of and be a subset of . We say is an -differencing Sperner system if for any distinct…
Two-Distance Sets over Finite Fields
Jozsef Solymosi, Chi Hoi Yip
We study two-distance sets in standard -dimensional quadratic spaces over finite fields. In characteristic , we construct sets attaining the full Larman--Rogers--Seidel bound…
Intersective sets over abelian groups
Zixiang Xu, Chi Hoi Yip
Given a finite abelian group and a subset with , let be the maximum size of such that the difference set and ha…
The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes
Shamil Asgarli, Chi Hoi Yip
Blokhuis showed that all maximum cliques in Paley graphs of square order have a subfield structure. Recently, it has been shown that in Peisert-type graphs, all maximum cliques are…