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Published by Springer Berlin Heidelberg, 2005
ISBN 10: 3540289909 ISBN 13: 9783540289906
Language: English
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Add to basketGebunden. Condition: New. 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.
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Published by Springer, Berlin, Springer Berlin Heidelberg, Springer, 2005
ISBN 10: 3540289909 ISBN 13: 9783540289906
Language: English
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Add to basketBuch. Condition: Neu. 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.
Published by Springer Berlin Heidelberg, 2014
ISBN 10: 3642432506 ISBN 13: 9783642432507
Language: English
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Add to basketCondition: 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.
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