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Integer matrices obeying generalized incidence equations

Published online by Cambridge University Press:  17 April 2009

Jennifer Wallis
Jennifer Wallis
Affiliation:
University of Newcastle, New South Wales.
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Abstract

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We consider integer matrices obeying certain generalizations of the incidence equations for (v, k, λ)-configurations and show that given certain other constraints, a constant multiple of the incidence matrix of a (v, k, λ)-configuration may be identified as the solution of the equation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1971 , pp. 51 - 56
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Bridges, W.G. and Ryser, H.J., “Combinatorial designs and related systems”, J. Algebra 13 (1969), 432–446.CrossRefGoogle Scholar
[2]Ryser, H.J., “Matrices with integer elements in combinatorial investigations”, Amer. J. Math. 74 (1952), 769–773.CrossRefGoogle Scholar
[3]Ryser, Herbert John, Combinatorial mathematics (The Carus Mathematical Monographs, No. 14. Math. Assoc. Amer., Buffalo, New York; John Wiley, New York, 1963).CrossRefGoogle Scholar