Algebraic Graph Theory : : Morphisms, Monoids and Matrices / / Ulrich Knauer.
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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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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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