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This book stresses the connection between, and the applications of, design theory to graphs and codes. Beginning with a brief introduction to design theory and the necessary background, the book also provides relevant topics for discussion from the theory of graphs and codes.
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This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics.
Geometry --- Combinatorial designs and configurations. --- Finite geometries. --- Géométries finies --- Configurations et schémas combinatoires --- Analyse combinatoire --- Geometrie --- Geometrie finie
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Block designs. --- Coding theory. --- Graph theory. --- Discrete mathematics --- 519.7 --- 519.1 --- Block designs --- Coding theory --- Graph theory --- 681.3*E4 --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Designs, Block --- Combinatorial designs and configurations --- Experimental design --- 519.1 Combinatorics. Graph theory --- Combinatorics. Graph theory --- 519.7 Mathematical cybernetics --- Mathematical cybernetics --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Extremal problems --- Codage --- Théorie des graphes --- Design
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Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on graphs, codes and designs, into an invaluable textbook. They do not seek to consider each of these three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises and useful hints are included througout, and a large number of references are given.
Combinatorial designs and configurations. --- Coding theory. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Configurations and designs, Combinatorial --- Designs and configurations, Combinatorial --- Extremal problems
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