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

Due to papers from Algebraic, Extremal and Metric Combinatorics 1986 convention held on the collage of Montreal, this e-book represents a entire review of the current country of development in 3 comparable parts of combinatorics. issues lined within the articles contain organization shemes, extremal difficulties, combinatorial geometries and matroids, and designs. all of the papers include new effects and plenty of are broad surveys of specific parts of analysis.

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**Sample text**

Does this realizability depend only on the parameters of the strongly regular graph? 4. d P (K) and the Pd(K)? (As I am not very familiar with differential geometry, I am afraid that some of my explanations below might not be free from some technical inaccuracy. ) A concept (which was called Delsarte space) was introduced by Neumainer [33] as a concept which includes both Q-polynomial association scheme and compact symmetric spaces of rank 1. It is true that all the algebraic properties of both of these two types of spaces are derived from the axioms given by Neumaier [33].

Study the cases: On Extremal Finite Sets in the Sphere and Other Metric Spaces (1) d • 2 (2) t (3) The simplest nontrivial open case is (d,t) = 2, 35 (for arbitrary t). 3, ••• (for arbitrary d) (t =1 is easily settled). 7. jecture 1. The matrix = (2,2). Find further methods for the proof of Conwe considered before has entries not J necessarily polynomials in s 1 ••••• sd· If we take the following (h 1 + h 2 + ••• + ht + lXI> X lXI (d + 1) matrix J' (given below) J' instead, the entries of are polynomials in the xjk (1 ~ j ~ lxl.

Many of these results were obtained in collaboration with M. Deza and P. Frankl, and can be found in our joint paper (to appear), or in the references therein; so the organising committee of the conference must bear dual responsibility! INTRODUCTION I will be discussing a translation, to families of permutations, of problems which have been well studied in the context of families of sets. In this context, typical hypotheses on a family F include: (a) Conditions on cardinalities of intersections of the sets (for example, prescribing the numbers of cardinalities of pairwise intersections).