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Algebraic graph theory : morphisms, monoids, and matrices /

This is a highly self-contained book about algebraic graph theory which 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 eigenvalue...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Knauer, Ulrich, 1942-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, ©2011.
Colección:De Gruyter studies in mathematics ; 41.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Algebraic graph theory :  |b morphisms, monoids, and matrices /  |c by Ulrich Knauer. 
260 |a Berlin ;  |a Boston :  |b De Gruyter,  |c ©2011. 
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504 |a Includes bibliographical references and index. 
520 |a This is a highly self-contained book about algebraic graph theory which 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. 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. 
505 0 |a Preface; 1 Directed and undirected graphs; 2 Graphs and matrices; 3 Categories and functors; 4 Binary graph operations; 5 Line graph and other unary graph operations; 6 Graphs and vector spaces; 7 Graphs, groups and monoids; 8 The characteristic polynomial of graphs; 9 Graphs and monoids; 10 Compositions, unretractivities and monoids; 11 Cayley graphs of semigroups; 12 Vertex transitive Cayley graphs; 13 Embeddings of Cayley graphs -- genus of semigroups; Bibliography; Index; Index of symbols. 
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650 0 |a Algebraic topology. 
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830 0 |a De Gruyter studies in mathematics ;  |v 41. 
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