Journal Article10.4153/CJM-1951-050-8
Cyclic incidence matrices
Marshall Hall,H. J. Ryser +1 more
50
TL;DR: In this article, the problem of arranging v elements into v sets such that each set contains exactly k distinct elements and each pair of sets has exactly λ elements in common (0 < λ < k < v).
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Abstract: Let it be required to arrange v elements into v sets such that each set contains exactly k distinct elements and such that each pair of sets has exactly λ elements in common (0 < λ < k < v). This problem we refer to as the v, k,λ combinatorial problem.
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Citations
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Surgery on compact manifolds
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TL;DR: In this paper, the Atiyah-Singer $G$-signature theorem is extended to the case of simple Poincare embeddings with simple homotopy.
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- 17 Oct 2003
TL;DR: It is shown here how orthogonal Latin squares can be transformed into BIBDs using Hadamard matrices, and how different sets and automorphisms can be modified for different levels of integration.
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- 01 Jan 1992
TL;DR: The standard geometric codes are presented, followed by a list of recommended designs and some examples of how these designs might be implemented in the real world.
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References
A theorem in finite projective geometry and some applications to number theory
TL;DR: In this article, it was shown that there is always at least one collineation of period q with respect to any point in the projective plane PG(2, pn) for every prime p and positive integer n.