By M. M. Deza, P. Frankl, I. G. Rosenberg

ISBN-10: 0521359236

ISBN-13: 9780521359238

Because of papers from Algebraic, Extremal and Metric Combinatorics 1986 convention held on the collage of Montreal, this publication represents a finished assessment of the current country of growth in 3 comparable parts of combinatorics. subject matters coated within the articles comprise organization shemes, extremal difficulties, combinatorial geometries and matroids, and designs. all of the papers comprise new effects and plenty of are huge surveys of specific components of analysis.

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Extra info for Algebraic, Extremal and Metric Combinatorics 1986

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V) If X is a tight 2s-design in M, coincides with the set of the polynomials R0 (x). s s then A(X) zeros of the On Extremal Finite Sets in the Sphere and Other Metric Spaces Here we use the following notation: d N • m( 2m + 1), « • 0 or 1. m 22 1 = 2(K: R), ("" s - e). 8)bis Qj (x) , j•O q(q+1) ••• (q+a-1) Qi(x) e: k :E and for a(q) = q(q-1) ••• (q-a+l), (qa) a>l. Q~(x) (e: • 0 or 1) here are different from the Sd) in the previous section, although all of them are Jacobi polynomials of certain (different) parameters.

Zaslavsky, Averaging set: A generalization of mean values and spherical designs, Advances in Math. 52 (1984), 213-240. 35. G. Szeg8, Orthogonal Polynomials, 4th edition, Amer. Math. Soc. , 1975. 36. P. Terwilliger, A characterization of P- and Qpolynomial association schemes, (preprint). 37. J. A. Wolf, Spaces of Constant Curvature, McGraw-Hill, 1967. 38. T. Zaslavsky, Personal communication. R2 , Europ. J. Comb. J. CT The purpose of this paper is to survey some recent results on sets of permutations.

T. Koornwinder, The addition formula for Jacobi polynomials and spherical harmonics, SIAM J. Appl. Math. 25 (1973), 236-246. 31. D. G. Larman, C. A. Rogers and J. J. Seidel, On two distance sets in Euclidean spaces, Bull. London Math. Soc. 9 (1977), 261-267. 32. H. Morikawa, Some results on harmonic analysis on compact quotients of Heisenberg groups, Nagoya Math. J. 99 (1985), 45-62. 33. A. Neumaier, Combinatorial configurations in terms of distances, T. H. E. (Eindhoven) Memorandum 81-90, 1981.

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Algebraic, Extremal and Metric Combinatorics 1986 by M. M. Deza, P. Frankl, I. G. Rosenberg


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