Constructive CombinatoricsCourant Institute of Mathematical Sciences, New York University, 1973 - Combinatorial analysis - 130 pages |
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abelian group Axiom B₁ Baumert-Hall BIBD C₁ color Combinatorics construction theorem contains contradiction cosets cyclic difference set Definition diagonal difference matrix elements entries equation Euler's conjecture exactly once example exists finite projective plane following theorem Galois field GF(p group difference set H₁ H₂ Hadamard array Hadamard matrix Hence implies incidence matrix J. S. Wallis last column last rows Legendre symbol lemma Let G locally maximal sum-free matrix of order maximal sum-free set mod 2k Multiplier Theorem nonzero obtain order 4n orthogonal Latin squares pair of orthogonal pairwise orthogonal Latin partition permuting plane of order polynomials prime Proof quadratic residue R₁ and R₂ Ramsey Theory residues modulo S₁ SBIBD with parameters set in G set with parameters square of side squares of order Steiner triple system STS(v sub-STS Suppose T₁ twin primes v₁ yields Z₂