Algebraic Graph Theory : : Morphisms, Monoids and Matrices /

Algebraic Graph Theory : : Morphisms, Monoids and Matrices / / Ulrich Knauer.

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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 ori...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Knauer, Ulrich,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2011
Year of Publication:2011
Language:English
Series:De Gruyter Studies in Mathematics , 41
Online Access:
Physical Description:1 online resource (308 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 1. Directed and undirected graphs
  • Chapter 2. Graphs and matrices
  • Chapter 3. Categories and functors
  • Chapter 4. Binary graph operations
  • Chapter 5. Line graph and other unary graph operations
  • Chapter 6. Graphs and vector spaces
  • Chapter 7. Graphs, groups and monoids
  • Chapter 8. The characteristic polynomial of graphs
  • Chapter 9. Graphs and monoids
  • Chapter 10. Compositions, unretractivities and monoids
  • Chapter 11. Cayley graphs of semigroups
  • Chapter 12. Vertex transitive Cayley graphs
  • Chapter 13. Embeddings of Cayley graphs – genus of semigroups
  • Bibliography
  • Index
  • Index of symbols

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