Abstract
The maximum numbers of mutually nonadjacent vertices in a family of strongly regular graphs arising from orthogonal geometries overGF(2) are expressed in terms of the classical Hurwitz-Radon numbers and their generalizations.
Similar content being viewed by others
References
Bier, T.: A remark on constructions of certain normed and nonsingular bilinear maps, Proc. Japan Acad.59 serA, 328–330 (1983)
Bier, T.: Clifford Gitter (unpublished)
Bose, R.C.: Strongly regular graphs, partial geometries and partially balanced designs. Pacific J. Math.13, 389–419 (1963)
Hurwitz, A.: Über die Komposition der quadratischen Formen. Math. Ann.88, 1–25 (1923)
Kaplansky, I.:Linear Algebra and Geometry. 2nd ed. New York: Chelsea 1974
Radon, J.: Lineare Scharen Orthogonaler Matrizen. Abh. Math. Sem. Univ. Hamburg1, 1–14 (1922)
Ray-Chaudhuri, D.K.: Application of the geometry of quadrics for constructing PBIB designs. Ann. Math. Stat.33, 1175–1186 (1962)
Seidel, J.J.: Strongly regular graphs. In:Surveys in Combinatorics (B. Bollobas ed.), London Math. Soc. Lect. Note Ser. 38, pp. 157–180, 1979
Shapiro, D.B.: Spaces of similarities I, the Hurwitz problem, J. Algebra46, 148–170 (1977)
Shult, E.E.: Characterizations of certain classes of graphs. J. Comb. Theory (B)13, 142–167 (1972)
Author information
Authors and Affiliations
Additional information
Supported in part by NSF.
Rights and permissions
About this article
Cite this article
Yiu, P.Y.H. Strongly regular graphs and Hurwitz-Radon numbers. Graphs and Combinatorics 6, 61–69 (1990). https://doi.org/10.1007/BF01787481
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01787481