Applications of Combinatorial Mathematics

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In the last thirty years, combinatorial mathematics has found itself at the heart of many technological applications. The aims of the conference on which this book is based were to stimulate combinatorial mathematicians to pursue new lines of research of potential and practical importance, and to uncover the breadth of applications to the subject. Topics covered include neural networks, cryptography, radio frequency assignment for mobile telecommunications, coding theory, sequences for communications applications, interconnection networks, data types, knot theory, radar, parallel processing, network reliability, formal specification of programs and protocols, and combinatorial optimization.

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Table of Contents

The Combinatorics of some Abstract Data Types, M. D. Atkinson and D. Tulley
Recent Results in the Theory or Program Flowgraphs, J. R. Bainbridge and R. W. Whitty
Applications of Combinatorics to Security, S. R. Blackburn and F. Piper
The Regular Coloration of Graphs, M. G. Everett and S. P. Borgatti
The Use of Combinatorial Structures in Communication Signal Design, S. W. Golomb
A Constructive Algorithm for Neural Network Design with Application to Channel Equalization, C. Z. W. Hassell Sweatman, G. J. Gibson, and B. Mulgrew
The Weight Distribution of K M Codes, S. Hoggar and K. Pickavance
Densities of Perfect Linear Complexity Profile Binary Sequences, A. E. D. Houston
When Constraints are Easy to Satisfy, P. Jeavons, D. Cohen, and M. Cooper
A Unified Approach to Problems in Radio Channel Assignment, R. A. Leese
Interconnection Networks Based on Two-dimensional de Bruijn Graphs, K. G. Paterson
A Graph Theoretic Solution to the Interface Equation, A. D. Pengelly and D. C. Ince
Uniformly Optimally Reliable Networks for Vertex Failures, D. H. Smith
Multi-Function Coding and Modulation for Spread Spectrum and CDMA with Inherent Security, S. Shepherd
Multi-Stage Scheduling Problems with Precedence Constraints, V. A. Strusevich
Frequency Assignment for Cellular Radio Networks, D. A. Youngs

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