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Computational and Constructive Design Theory
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Catalogue Record 43456
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Catalogue Information
Field name
Details
Dewey Class
511.6
Title
Computational and Constructive Design Theory ([EBook] /) / edited by W. D. Wallis.
Added Personal Name
Wallis, W. D.
editor.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Springer US : : Imprint: Springer, , 1996.
Physical Details
XIV, 362 p. 5 illus. : online resource.
ISBN
9781475724974
Summary Note
Over the last several years, there has been a significant increase in compu tational combinatorics. The most widely reported results were, of course, the proof of the Four Color Theorem and the proof that there is no projective plane of parameter 10. Although the computer was essential in both proofs, the only reason for this was the fact that life is short. The computations involved were not different in kind from those which have been done by human brains without electronic assistance; they were just longer. Another important fact to notice is that both problems were theoretical, pure mathematical ones. The pursuit of the Four-Color Theorem has led to the development of whole branches of graph theory. The plane of parameter 10 is not an isolated case; its nonexistence is the first (and so far, the only) coun terexample to the conjecture that the Bruck-Chowla-Ryser conditions were necessary and sufficient for the existence of a symmetric balanced incomplete block design; the study of this problem has also led to a number of theoretical advances, including investigation of the relationship between codes and designs.:
Contents note
1 A Bridge Club Design -- 2 The First Time -- 3 Computational Methods in Design Theory -- 4 Finding Designs with Genetic Algorithms -- 5 Making the Mols Table -- 6 On Writing Isomorphism Programs -- 7 The Nonexistence of 4—(12,6,6) Designs -- 8 Bibds with k = 6 and ? = 1 -- 9 Polyhedral Methods in Design Theory -- 10 Another Look at Large Sets of Steiner Triple Systems -- 11 (22, 33,12, 8, 4)-BIBD, AN UPDATE.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-2497-4
Links to Related Works
Subject References:
Algorithms
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Combinatorics
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Computer Science
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Discrete Mathematics in Computer Science
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Mathematics
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Authors:
Wallis, W. D.
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Corporate Authors:
SpringerLink (Online service)
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Classification:
511.6
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