Discrete Mathematics and Applications

  • Andrei M. Raigorodskii
  • Michael Th. Rassias

Part of the Springer Optimization and Its Applications book series (SOIA, volume 165)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jean-Paul Allouche, Jeffrey Shallit
    Pages 1-6
  3. Horst Alzer, Omran Kouba, Man Kam Kwong
    Pages 7-33
  4. Dorin Andrica, Ovidiu Bagdasar, George Cătălin Ţurcaş
    Pages 35-55
  5. Dorin Andrica, Sorin Rădulescu, George Cătălin Ţurcaş
    Pages 57-108
  6. Richard A. Brualdi, Lei Cao
    Pages 109-152
  7. Debsoumya Chakraborti, Alan Frieze, Mihir Hasabnis
    Pages 153-175
  8. Ryan E. Dougherty, Charles J. Colbourn
    Pages 177-197
  9. S. Funkhouser, D. A. Goldston, D. Sengupta, J. Sengupta
    Pages 207-236
  10. Odysseas Kosmas, Dimitrios Vlachos
    Pages 237-258
  11. Alexandr Kostochka, Derrek Yager, Gexin Yu
    Pages 259-304
  12. John Leventides, Nick Poulios
    Pages 339-367
  13. John Leventides, Maria Livada, Costas Poulios
    Pages 369-395
  14. Dhruv Mubayi, Andrew Suk
    Pages 405-428
  15. Maria N. Rapti, Basil K. Papadopoulos
    Pages 441-458
  16. Maya Stein
    Pages 459-486
  17. Irene Triantafillou
    Pages 487-499

About this book


Advances in discrete mathematics are presented in this book with applications in theoretical mathematics and interdisciplinary research. Each chapter presents new methods and techniques by leading experts. Unifying interdisciplinary applications, problems, and approaches of discrete mathematics, this book connects topics in graph theory, combinatorics, number theory, cryptography, dynamical systems, finance, optimization, and game theory. Graduate students and researchers in optimization, mathematics,  computer science, economics, and physics will find the wide range of interdisciplinary topics, methods, and applications covered in this book engaging and useful.


methods of Discrete Mathematics combinatorics matrix theory Game theory Calculus of finite differences Logic

Editors and affiliations

  • Andrei M. Raigorodskii
    • 1
  • Michael Th. Rassias
    • 2
  1. 1.Moscow Institute of Physics and TechnologyDolgoprudnyRussia
  2. 2.Institute of MathematicsUniversity of ZurichZurichEswatini

Bibliographic information