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- Hungarian Academy of SciencesHU101 papers
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5 papers · 2 filters
Higgledy-piggledy subspaces and uniform subspace designs
Szabolcs L. Fancsali, Péter Sziklai
In this article, we investigate collections of `well-spread-out' projective (and linear) subspaces. Projective -subspaces in are in `higgledy-piggled…
Cospectral regular graphs with and without a perfect matching
Zoltan L. Blazsik, Jay Cummings, Willem H. Haemers
For each we construct a pair of cospectral -regular graphs, where one has a perfect matching and the other one not. This solves a research problem posed by the third…
Matchings in vertex-transitive bipartite graphs
Péter Csikvári
A theorem of A. Schrijver asserts that a -regular bipartite graph on vertices has at least perfect matchings. L. Gurvits gave…
The number of directions determined by less than points
Szabolcs L. Fancsali, Péter Sziklai, Marcella Takáts
In this article we prove a theorem about the number of directions determined by less then affine points, similar to the result of Blokhuis et al. (in J. Comb. Theory Ser. A 86(…
An extension of the direction problem
Péter Sziklai, Marcella Takáts
Let be a point set in the -dimensional affine space over the finite field of elements and . In this paper we extend the definition of di…