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Algorithmic Algebraic Combinatorics and Groebner Bases

Algorithmic Algebraic Combinatorics and Groebner Bases
  

Introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with an emphasis on algorithmic aspects and the use of the theory of Grobner bases. This book covers coherent configurations, association schemes, permutation groups, Lati... read full description below.

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ISBN 9783642019593
Barcode 9783642019593
Published 28 September 2009
Format Hardback, 2009 ed.
Author(s) Edited by Klin, Mikhail
Edited by Jones, Gareth A.
Edited by Jurisic, Aleksandar
Edited by Muzychuk, Mikhail
Edited by Ponomarenko, Ilia
Availability Available at publisher; ships 6-14 working days

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Full details for this title

ISBN-13 9783642019593
ISBN-10 3642019595
Stock Available
Status Available at publisher; ships 6-14 working days
Publisher unlisted
Imprint Springer
Publication Date 28 September 2009
Publication Country Germany Germany
Format Hardback, 2009 ed.
Edition 2009 ed.
Author(s) Edited by Klin, Mikhail
Edited by Jones, Gareth A.
Edited by Jurisic, Aleksandar
Edited by Muzychuk, Mikhail
Edited by Ponomarenko, Ilia
Category Algebra
Geometry
Combinatorics & Graph Theory
NZ, Maori & Pasifika
Pasifika
New Zealand & Related
Number of Pages 311
Dimensions Width: 155mm
Height: 235mm
Spine: 19mm
Weight 1,390g
Interest Age General Audience
Reading Age General Audience
Library of Congress Mathematics, Algebra, Computer science, Computer science, Geometry
NBS Text Mathematics
ONIX Text Professional and scholarly
Dewey Code 511.6
Catalogue Code Not specified

Description of this Book

This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with a special emphasis on algorithmic aspects and the use of the theory of Grobner bases. Topics covered include coherent configurations, association schemes, permutation groups, Latin squares, the Jacobian conjecture, mathematical chemistry, extremal combinatorics, coding theory, designs, etc. Special attention is paid to the description of innovative practical algorithms and their implementation in software packages such as GAP and MAGMA. Readers will benefit from the exceptional combination of instructive training goals with the presentation of significant new scientific results of an interdisciplinary nature.

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Author's Bio

Mikhail Klin graduated from Kiev State University. He has taught future engineers, chemists, teachers of mathematics, and programmers in Ukraine and Russia, serving as a Senior Research Associate in the USSR Academy of Sciences N.D.Zelinskii Institute of Organic Chemistry. Since 1992 he has lived in Israel, visiting universities in the USA, Germany and Fiji. He works in areas of algebraic combinatorics, computer algebra and permutation group theory, and is coauthor of a textbook and co-editor of several collections of papers. Gareth Jones graduated from Oxford University, and has spent his career at Southampton University where he is a professor of mathematics. He is co-author of three textbooks, and has published over 60 papers, mainly on group theory and its applications to combinatorics, Galois theory, topology, physics and chemistry. Aleksandar Jurisic received Ph.D. from the University of Waterloo in '95 in the field of algebraic combinatorics. He teaches mathematics, cryptography and computer security at the Faculty of Computer and Informatic Science, the University of Ljubljana. His main research interests are discrete mathematics and geometry. In 2005 he co-founded the Slovenian Society of Cryptology. Mikhail Muzychuk got his Ph.D. from Kiev State University in 1988. In 1991 he moved to Israel. Since then he has been teaching mathematical courses for students of different specialities. Nowadays he is a professor at Netanya Academic College. His main research areas are algebraic combinatorics and group theory. He had published 60 papers in these areas and edited two collections of papers. Ilya Ponomarenko graduated from the St.Petersburg (Leningrad) State University in 1979 with a degree in Operations Research. After working for 11 years as a programmer, he worked as a researcher (now leading researcher) in the V.A.Steklov Institute of Mathematics at St.Petersburg, Russian Academy of Sciences, Laboratory of Representation Theory and Computational Methods. In 1986 he obtained his PhD, working on polynomial-time isomorphism testing for graphs, and in 2006 his Dr.Sci., on automorphism groups of association schemes. He is interested in algebraic combinatorics (coherent configurations and permutation groups) and computational complexity (especially the Graph Isomorphism Problem). He has over 50 papers published in refereed mathematical journals.

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