Algebraic, Extremal and Metric Combinatorics 1986

doi:10.1017/CBO9780511758881

This book represents a comprehensive overview of the present state of progress in three related areas of combinatorics. It comprises selected papers from a conference held at the University of Montreal. Topics covered in the articles include association schemes, extremal problems, combinatorial geometrics and matroids, and designs. All the papers contain new results and many are extensive surveys of particular areas of research. Particularly valuable will be Ivanov's paper on recent Soviet research in these areas. Consequently this volume will be of great attraction to all researchers in combinatorics and to research students requiring a rapid introduction to some of the open problems in the subject.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Introduction
pp vii-vii
- By M. Deza, CNRS, Paris, France, P. Frankl, C.N.R.S., Paris, France, I.G. Rosenberg, Université de Montréal
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List of Talks
pp viii-viii
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Participants
pp ix-x
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Some Recent Combinatorial Applications of Borsuk-Type Theorems
pp 1-12
- By N. Alon, Tel Aviv University
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On Extremal Finite Sets in the Sphere and Other Metric Spaces
pp 13-38
- By E. Bannai, The Ohio State University
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Metric and Geometric Properties of Sets of Permutations
pp 39-53
- By P.J. Cameron, Queen Mary College
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Infinite Geometric Groups and Sets
pp 54-61
- By P.J. Cameron, Queen Mary College, M. Deza, CNRS, Paris, France, N.M. Singhi, Mehta Institute of Fundamental Research
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Intersection and Containment Problems Without Size Restrictions
pp 62-111
- By P. Frankl, C.N.R.S., Paris, France
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Distance-Transitive Graphs of Valency k, 8 ≤ k ≤ 13
pp 112-145
- By A. A. Ivanov, Institute for System Studies, A. V. Ivanov, Institute for System Studies
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Latin Square Determinants
pp 146-154
- By K.W. Johnson, The Pennsylvania State University
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A Computer Search for a Projective Plane of Order 10
pp 155-165
- By C.W.H. Lam, Concordia University,, L.H. Thiel, Concordia University, S. Swiercz, Concordia University
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Matroids, Algebraic and Non Algebraic
pp 166-174
- By B. Lindström, Dept. of Mathematics
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Algebraic Properties of a General Convolution
pp 175-204
- By L.G. Rosenberg, Université de Montréal
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Quasi Groups, Association Schemes, and Laplace Operators on Almost Periodic Functions
pp 205-218
- By J.D.H. Smith, Iowa State University
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Geometric Methods in Group Theory
pp 219-237
- By Stephen D. Smith, University of Illinois at Chicago
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Problem Section
pp 238-245
- By N. Alon, Tel Aviv university
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Algebraic, Extremal and Metric Combinatorics 1986

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Introduction
pp vii-vii

List of Talks
pp viii-viii

Participants
pp ix-x

Some Recent Combinatorial Applications of Borsuk-Type Theorems
pp 1-12

On Extremal Finite Sets in the Sphere and Other Metric Spaces
pp 13-38

Metric and Geometric Properties of Sets of Permutations
pp 39-53

Infinite Geometric Groups and Sets
pp 54-61

Intersection and Containment Problems Without Size Restrictions
pp 62-111

Distance-Transitive Graphs of Valency k, 8 ≤ k ≤ 13
pp 112-145

Latin Square Determinants
pp 146-154

A Computer Search for a Projective Plane of Order 10
pp 155-165

Matroids, Algebraic and Non Algebraic
pp 166-174

Algebraic Properties of a General Convolution
pp 175-204

Quasi Groups, Association Schemes, and Laplace Operators on Almost Periodic Functions
pp 205-218

Geometric Methods in Group Theory
pp 219-237

Problem Section
pp 238-245

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Algebraic, Extremal and Metric Combinatorics 1986

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