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Geometry and Combinatorics
1st Edition - May 7, 1991
Author: J. J. Seidel
Editors: D. G. Corneil, R. Mathon
9 7 8 - 1 - 4 8 3 2 - 6 8 0 0 - 2
Geometry and Combinatorics: Selected Works of J. J. Seidel brings together some of the works of J. J. Seidel in geometry and combinatorics. Seidel's selected papers are divided… Read more
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Geometry and Combinatorics: Selected Works of J. J. Seidel brings together some of the works of J. J. Seidel in geometry and combinatorics. Seidel's selected papers are divided into four areas: graphs and designs; lines with few angles; matrices and forms; and non-Euclidean geometry. A list of all of Seidel's publications is included. Comprised of 29 chapters, this book begins with a discussion on equilateral point sets in elliptic geometry, followed by an analysis of strongly regular graphs of L2-type and of triangular type. The reader is then introduced to strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3; graphs related to exceptional root systems; and equiangular lines. Subsequent chapters deal with the regular two-graph on 276 vertices; the congruence order of the elliptic plane; equi-isoclinic subspaces of Euclidean spaces; and Wielandt's visibility theorem. This monograph will be of interest to students and practitioners in the field of mathematics.
PrefaceAcknowledgmentsList of PublicationsI. Graphs and Designs Equilateral Point Sets in Elliptic Geometry Strongly Regular Graphs of L2-Type and of Triangular Type Strongly Regular Graphs with (- 1, 1,0) Adjacency Matrix Having Eigenvalue 3 Strongly Regular Graphs Derived from Combinatorial Designs A Strongly Regular Graph Derived from the Perfect Ternary Golay Code Spherical Codes and Designs Graphs Related to Exceptional Root Systems Strongly Regular Graphs Having Strongly Regular SubconstituentsII. Lines with Few Angles Equiangular Lines A Survey of Two-Graphs The Regular Two-Graph on 276 Vertices Bounds for Systems of Lines, and Jacobi Polynomials Line Graphs, Root Systems, and Elliptic Geometry Two-Graphs, a Second SurveyIII. Matrices and Forms Orthogonal Matrices with Zero Diagonal Quasiregular Two-Distance Sets A Skew Hadamard Matrix of Order 36 Symmetric Hadamard Matrices of Order 36 Quadratic Forms over GF(2) On Two-Graphs and Shult's Characterization of Symplectic and Orthogonal Geometries Over GF(2) The Krein Condition, Spherical Designs, Norton Algebras and Permutation GroupsIV. Non-Euclidean Geometry The Congruence Order of the Elliptic Plane Equi-Isoclinic Subspaces of Euclidean Spaces Metric Problems in Elliptic Geometry The Football Discrete Hyperbolic Geometry Few Distance Sets in Rp,q Remark on Wielandt's Visibility Theorem Complete List of Permissions