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Item Details
| Title:
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INVESTIGATIONS IN ALGEBRAIC THEORY OF COMBINATORIAL OBJECTS
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| By: |
I.A. Faradzev (Editor), Alexander Anatolievich Ivanov (Editor), M.H. Klin (Editor) |
| Format: |
Hardback |
| List price:
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£97.00 |
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We currently do not stock this item, please contact the publisher directly for
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| ISBN 10: |
0792319273 |
| ISBN 13: |
9780792319276 |
| Publisher: |
KLUWER ACADEMIC PUBLISHERS |
| Pub. date: |
15 November, 1993 |
| Edition: |
1994 ed. |
| Series: |
Mathematics and its Applications v. 84 |
| Pages: |
510 |
| Description: |
Presents a collection of survey papers on algebraic combinatorics which originally appeared in Russian, augmented by four survey papers written specially for this book. The content is divided into three parts: cellular rings; distance-regular and distance-transitive graphs; and amalgams geometry. |
| Synopsis: |
X Kochendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Kluwer Academic Publishers |
| Returns: |
Returnable |
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