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On the irregularities of point sets in the unit square
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2-connected 6-matching A-matroid adjacent adversary algorithm arcs assume Azuma's inequality bipartite graph bits block Budapest coin flipping COLLOQUIA MATHEMATICA SOCIETATIS colour COMBINATORICS complete graph components conjecture consider construction contradiction Corollary cycle of length defined deleted Dept diameter digraph dishonest players disjoint distance-regular antipodal covers distance-regular graphs EGER HUNGARY exists forms graph function G contains graph G graph of order Graph Theory hamiltonian Hamiltonian cycle Hamiltonian path Hence Hungary implies independent induced subgraph inequality integer isomorphic jANOS BOLYAI labelled least Lemma Let G linear Math MATHEMATICA SOCIETATIS jANOS Mathematics matrix matroid maximum minimal forbidden minor minimum non-negative obtained pair partition path points polynomial positive integer problem proof of Theorem Proposition prove quasi-symmetric random graphs result satisfies semi-random source SOCIETATIS jANOS BOLYAI subset subspaces Suppose symmetric t-join Theorem trees triangles Univ vector vertex vertex set vertices of G weight