Combinatorics: Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8-20 July 1974

Combinatorics: Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8-20 July 1974

Hardcover(1975)

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Product Details

ISBN-13: 9789027705938
Publisher: Springer Netherlands
Publication date: 04/30/1975
Series: Nato Science Series C: , #16
Edition description: 1975
Pages: 482
Product dimensions: 6.30(w) x 9.45(h) x 0.04(d)

Table of Contents

1.- Theory of Designs.- Indeterminates and Incidence Matrices.- Constructions and Uses of Pairwise Balanced Designs.- On Transversal Designs.- Finite Geometry.- Combinatorics of Finite Geometries.- On Finite Non-Commutative Affine Spaces.- Coding Theory.- Weight Enumerators of Codes.- The Association Schemes of Coding Theory.- Recent Results on Perfect Codes and Related Topics.- Irreducible Cyclic Codes and Gauss Sums.- 2.- Graph Theory.- Isomorphism Problems for Hypergraphs.- Extremal Problems for Hypergraphs.- Applications of Ramsey Style Theorems to Eigenvalues of Graphs.- Foundations, Partitions and Combinatorial Geometry.- Some Recent Developments in Ramsey Theory.- On an Extremal Property of Antichains in Partial orders. The LYM Property and Some of Its Implications and Applications.- Sperner Families and Partitions of a Partially Ordered Set.- Combinatorial Reciprocity Theorems.- 3.- Combinatorial Group Theory.- Difference Sets.- Invariant Relations, Coherent Configurations and Generalized Polygons.- 2-Transitive Designs.- Suborbits in Transitive Permutation Groups.- Groups, Polar Spaces and Related Structures.

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