Higher Combinatorics: Proceedings of the NATO Advanced Study Institute Held in Berlin (West Germany), September 1–10, 1976M. Aigner It is general consensus that Combinatorics has developed into a full-fledged mathematical discipline whose beginnings as a charming pastime have long since been left behind and whose great signifi cance for other branches of both pure and applied mathematics is only beginning to be realized. The last ten years have witnessed a tremendous outburst of activity both in relatively new fields such as Coding Theory and the Theory of Matroids as well as in' more time honored endeavors such as Generating Functions and the Inver sion Calculus. Although the number of text books on these subjects is slowly increasing, there is also a great need for up-to-date surveys of the main lines of research designed to aid the beginner and serve as a reference for the expert. It was the aim of the Advanced Study Institute "Higher Combinatorics" in Berlin, 1976, to help fulfill this need. There were five sections: I. Counting Theory, II. Combinatorial Set Theory and Order Theory, III. Matroids, IV. Designs and V. Groups and Coding Theory, with three principal lecturers in each section. Expanded versions of most lectures form the contents of this book. The Institute was designed to offer, especially to young researchers, a comprehen sive picture of the most interesting developments currently under way. It is hoped that these proceedings will serve the same purpose for a wider audience. |
Contents
G E Andrews and R Askey 3 | 18 |
COHENMACAULAY COMPLEXES | 48 |
ACYCLIC ORIENTATIONS | 65 |
Copyright | |
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Higher Combinatorics: Proceedings of the NATO Advanced Study Institute held ... M. Aigner Limited preview - 2012 |
Higher Combinatorics: Proceedings of the NATO Advanced Study Institute held ... M. Aigner No preview available - 2011 |
Common terms and phrases
Aigner algebraic Amer b₁ Berlin biplane block chain partition characterization Cohen-Macaulay colour combinatorial geometry configuration construction contains cyclic flats defined denoted Desargues configuration Dilworth truncation distributive lattices elements eulérienne example finite lattice free matroid function Germany Gorenstein graph h-vector Hence Higher Combinatorics hyperplane identity incidence incidence matrix indep independent induced infinite Inst integers IRISE irreducible isomorphic J.A. Thas lemma linear lines M₁ M₂ matrix matroid join maximal arc modular cut modular lattices nombres number of partitions O-sequence P₁ parallel partial geometries partial lattice partially ordered set perfect codes permutation group plane of order points polynomial poset primitive Proc projective plane proof q-analog quadrangle with parameters rank relation representation resp restriction result S.E. Payne simplicial Steiner system strict gammoids strong map subquadrangle subset subspace t-transitive Theorem theory transitive transversal matroids unique Univ V-code vector space