Graphical Enumeration
eBook - PDF

Graphical Enumeration

  1. 286 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Graphical Enumeration

Book details
Table of contents
Citations

About This Book

Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George PĂłlya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of PĂłlya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.

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Yes, you can access Graphical Enumeration by Frank Harary,Edgar M. Palmer in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483273785
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Graphical Enumeration
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. CHAPTER 1. LABELED ENUMERATION
  8. CHAPTER 2. POLYA'S THEOREM
  9. CHAPTER 3. TREES
  10. CHAPTER 4. GRAPHS
  11. CHAPTER 5. DIGRAPHS
  12. CHAPTER 6. POWER GROUP ENUMERATION
  13. CHAPTER 7. SUPERPOSITION
  14. CHAPTER 8. BLOCKS
  15. CHAPTER 9. ASYMPTOTICS
  16. CHAPTER 10. UNSOLVED PROBLEMS
  17. APPENDIXES I
  18. APPENDIXES II
  19. APPENDIXES III
  20. BIBLIOGRAPHY
  21. Index