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Record Nr. |
UNINA9910952320203321 |
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Autore |
Knauer Ulrich <1942-> |
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Titolo |
Algebraic graph theory : morphisms, monoids, and matrices / / by Ulrich Knauer |
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Pubbl/distr/stampa |
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Berlin ; ; Boston, : De Gruyter, c2011 |
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ISBN |
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9786613400444 |
9781283400442 |
1283400448 |
9783110255096 |
311025509X |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (324 p.) |
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Collana |
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De Gruyter studies in mathematics ; ; 41 |
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Classificazione |
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Disciplina |
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Soggetti |
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Graph theory |
Algebraic topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 oriented programming. In turn, graphs are models for mathematical objects, like categories and functors. This highly self- |
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