Mathematics and its Applications

Investigations in Algebraic Theory of Combinatorial Objects

Editors: Faradzev, I.A., Ivanov, A.A., Klin, M., Woldar, A.J. (Eds.)

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About this book

X Köchendorffer, 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.

Table of contents (17 chapters)

  • Cellular Rings and Groups of Automorphisms of Graphs

    Faradžev, I. A. (et al.)

    Pages 1-152

  • On p-Local Analysis of Permutation Groups

    Ustimenko, V. A.

    Pages 153-166

  • Amorphic Cellular Rings

    Gol’fand, Ja. Ju. (et al.)

    Pages 167-186

  • The Subschemes of the Hamming Scheme

    Muzichuk, M. E.

    Pages 187-208

  • A Description of Subrings in % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOvamaabm % aabaGaam4uamaaBaaaleaacaWGWbWaaSbaaWqaaiaaigdaaeqaaaWc % beaakiabgEna0kaadofadaWgaaWcbaGaamiCamaaBaaameaacaaIYa % aabeaaaSqabaGccqGHxdaTcqWIVlctcqGHxdaTcaWGtbWaaSbaaSqa % aiaadchadaWgaaadbaGaamyBaaqabaaaleqaaaGccaGLOaGaayzkaa % aaaa!499E! $$ V\left( {S_{p_1 } \times S_{p_2 } \times \cdots \times S_{p_m } } \right)$$

    Gol’fand, Ja. Ju.

    Pages 209-223

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-94-017-1972-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-7923-1927-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-90-481-4195-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Investigations in Algebraic Theory of Combinatorial Objects
Editors
  • I.A. Faradzev
  • A.A. Ivanov
  • M. Klin
  • A.J. Woldar
Series Title
Mathematics and its Applications
Series Volume
84
Copyright
1994
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-1972-8
DOI
10.1007/978-94-017-1972-8
Hardcover ISBN
978-0-7923-1927-6
Softcover ISBN
978-90-481-4195-1
Series ISSN
0169-6378
Edition Number
1
Number of Pages
XII, 510
Topics