Chapter 14. Elementary Elliptic (R, q)-Polycycles

  1. PD Dr. habil. Matthias Dehmer5,6,
  2. Prof. Dr. Frank Emmert-Streib7
  1. Michel Deza1,2,
  2. Mathieu Dutour Sikirić3,
  3. Mikhail Shtogrin4

Published Online: 21 AUG 2009

DOI: 10.1002/9783527627981.ch14

Analysis of Complex Networks: From Biology to Linguistics

Analysis of Complex Networks: From Biology to Linguistics

How to Cite

Deza, M., Sikirić, M. D. and Shtogrin, M. (2009) Elementary Elliptic (R, q)-Polycycles, in Analysis of Complex Networks: From Biology to Linguistics (eds M. Dehmer and F. Emmert-Streib), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627981.ch14

Editor Information

  1. 5

    Vienna University of Technology, Discrete Mathematics and Geometry, Wiedner Hauptstraße 8–10, 1040 Vienna, Austria

  2. 6

    University of Coimbra, Center for Mathematics, Apartado 3008, 3001-454 Coimbra, Portugal

  3. 7

    Computational Biology and Machine Learning, Center for Cancer Research and Cell Biology, School of Medicine, Dentistry and Biomedical Sciences, Queen's University Belfast, 97 Lisburn Road, Belfast, BT9 7BL, UK

Author Information

  1. 1

    École Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France

  2. 2

    Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Nomi, Ishikawa, Japan

  3. 3

    Institute Rudjer Bošković, Group for Satellite Oceanography, 10000 Zagreb, Croatia

  4. 4

    Steklov Mathematical Institute, Gubkina str. 8, 117966 Moscow, Russia

Publication History

  1. Published Online: 21 AUG 2009
  2. Published Print: 22 APR 2009

ISBN Information

Print ISBN: 9783527323456

Online ISBN: 9783527627981

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Keywords:

  • elementary elliptic (R;
  • q)-polycycles;
  • Kernel elementary polycycles;
  • classification;
  • sporadic elementary-polycycles

Summary

This chapter contains sections titled:

  • Introduction

  • Kernel Elementary Polycycles

  • Classification of Elementary ({2, 3, 4, 5}, 3)-Polycycles

  • Classification of Elementary ({2, 3}, 4)-Polycycles

  • Classification of Elementary ({2, 3}, 5)-Polycycles

  • Conclusion

  • Appendix 1: 204 Sporadic Elementary ({2,3,4,5},3)-Polycycles

  • Appendix 2: 57 Sporadic eLementary ({2, 3}, 5)-polycycles

  • References