An inequality for generalized quadrangles
Author:
Stanley E. Payne
Journal:
Proc. Amer. Math. Soc. 71 (1978), 147-152
MSC:
Primary 05B25
DOI:
https://doi.org/10.1090/S0002-9939-1978-0476547-7
MathSciNet review:
0476547
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a generalized quadrangle of order (s, t). Let X and Y be disjoint sets of pairwise noncollinear points of
such that each point of X is collinear with each point of Y. If
and
, then
. When equality holds, severe restrictions are placed on m, n, s, and t.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0476547-7
Keywords:
Generalized quadrangles,
Rayleigh quotient,
incidence matrix
Article copyright:
© Copyright 1978
American Mathematical Society