Classification Algorithms for Codes and Designs - Couverture souple

Kaski, Petteri; �sterg�rd, Patric R.J.

9783642432507: Classification Algorithms for Codes and Designs

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ISBN 10 : 3642432506 ISBN 13 : 9783642432507

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This book considers one of the basic problems in discrete mathematics: given a collection of constraints, describe up to isomorphism all the objects that meet them. Only a handful of classification results for combinatorial objects are dated before the mid-20th century; indeed, it is through modern computers and recent developments in algorithms that this topic has flourished and matured. This book is the first comprehensive reference on combinatorial classification algorithms, with emphasis on both the general theory and application to central families of combinatorial objects, in particular, codes and designs.

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�diteur: Springer
Date d'�dition: 2014
Langue: anglais
ISBN 10: 3642432506
ISBN 13: 9783642432507
Reliure: Broch�
Nombre de pages: 428
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Classification Algorithms for Codes and Designs

Petteri Kaski|Patric R.J. �sterg�rd

Edit� par Springer Berlin Heidelberg, 2014

ISBN 10 : 3642432506 ISBN 13 : 9783642432507

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Excellent interdisciplinary monograph on highly applications relevant topicProvides the first comprehensive reference on combinatorial classification algorithmsAddresses both the general theory and application to central families of c. N� de r�f. du vendeur 11800926

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Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics, 15)

Kaski, Petteri; �sterg�rd, Patric R.J.

Edit� par Springer, 2014

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Classification Algorithms for Codes and Designs

Patric R. J. �sterg�rd

Edit� par Springer Berlin Heidelberg, 2014

ISBN 10 : 3642432506 ISBN 13 : 9783642432507

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - A new starting-point and a new method are requisite, to insure a complete [classi cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917) [129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the mid-19th century, Kirkman, Steiner, and others became the fathers of modern combinatorics, and their work - on various objects, including (what became later known as) Steiner triple systems - led to several classi cation results. Almost a century earlier, in 1782, Euler [180] published some results on classifying small Latin squares, but for the rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial arguments are e ective (often to prove nonexistence or uniqueness), classi cation in general is about algorithms and computation. N� de r�f. du vendeur 9783642432507

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Classification Algorithms for Codes and Designs

Patric R. J. �sterg�rd

Edit� par Springer Berlin Heidelberg Nov 2014, 2014

ISBN 10 : 3642432506 ISBN 13 : 9783642432507

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A new starting-point and a new method are requisite, to insure a complete [classi cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917) [129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the mid-19th century, Kirkman, Steiner, and others became the fathers of modern combinatorics, and their work - on various objects, including (what became later known as) Steiner triple systems - led to several classi cation results. Almost a century earlier, in 1782, Euler [180] published some results on classifying small Latin squares, but for the rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial arguments are e ective (often to prove nonexistence or uniqueness), classi cation in general is about algorithms and computation. 428 pp. Englisch. N� de r�f. du vendeur 9783642432507

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Classification Algorithms for Codes and Designs

Patric R. J. �sterg�rd

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2014, 2014

ISBN 10 : 3642432506 ISBN 13 : 9783642432507

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -A new starting-point and a new method are requisite, to insure a complete [classi cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917) [129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the mid-19th century, Kirkman, Steiner, and others became the fathers of modern combinatorics, and their work � on various objects, including (what became later known as) Steiner triple systems � led to several classi cation results. Almost a century earlier, in 1782, Euler [180] published some results on classifying small Latin squares, but for the rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial arguments are e ective (often to prove nonexistence or uniqueness), classi cation in general is about algorithms and computation.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 428 pp. Englisch. N� de r�f. du vendeur 9783642432507

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