Algebraic Graph Theory
eBook - PDF

Algebraic Graph Theory

  1. 324 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic Graph Theory

About this book

Graph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. In turn, graphs are models for mathematical objects, like categories and functors.

This highly self-contained book about algebraic graph theory is written with a view to keep the lively and unconventional atmosphere of a spoken text to communicate the enthusiasm the author feels about this subject. The focus is on homomorphisms and endomorphisms, matrices and eigenvalues. It ends with a challenging chapter on the topological question of embeddability of Cayley graphs on surfaces.

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Yes, you can access Algebraic Graph Theory by Ulrich Knauer in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110254082
eBook ISBN
9783110255096
Edition
1
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Preface
  2. 1 Directed and undirected graphs
  3. 2 Graphs and matrices
  4. 3 Categories and functors
  5. 4 Binary graph operations
  6. 5 Line graph and other unary graph operations
  7. 6 Graphs and vector spaces
  8. 7 Graphs, groups and monoids
  9. 8 The characteristic polynomial of graphs
  10. 9 Graphs and monoids
  11. 10 Compositions, unretractivities and monoids
  12. 11 Cayley graphs of semigroups
  13. 12 Vertex transitive Cayley graphs
  14. 13 Embeddings of Cayley graphs – genus of semigroups
  15. Bibliography
  16. Index
  17. Index of symbols