UID:
edocfu_9959235962202883
Umfang:
1 online resource (324 p.)
Ausgabe:
1st ed.
ISBN:
1-283-40044-8
,
9786613400444
,
3-11-025509-X
Serie:
De Gruyter studies in mathematics ; 41
Inhalt:
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.
Anmerkung:
Description based upon print version of record.
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Frontmatter --
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Preface --
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Contents --
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Chapter 1. Directed and undirected graphs --
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Chapter 2. Graphs and matrices --
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Chapter 3. Categories and functors --
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Chapter 4. Binary graph operations --
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Chapter 5. Line graph and other unary graph operations --
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Chapter 6. Graphs and vector spaces --
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Chapter 7. Graphs, groups and monoids --
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Chapter 8. The characteristic polynomial of graphs --
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Chapter 9. Graphs and monoids --
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Chapter 10. Compositions, unretractivities and monoids --
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Chapter 11. Cayley graphs of semigroups --
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Chapter 12. Vertex transitive Cayley graphs --
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Chapter 13. Embeddings of Cayley graphs - genus of semigroups --
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Bibliography --
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Index --
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Index of symbols
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Issued also in print.
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English
Weitere Ausg.:
ISBN 3-11-025408-5
Weitere Ausg.:
ISBN 3-11-218868-3
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1515/9783110255096
