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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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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245 1 0 |a Algebraic Graph Theory :  |b Morphisms, Monoids and Matrices /  |c Ulrich Knauer. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2011] 
264 4 |c ©2011 
300 |a 1 online resource (308 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 41 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t Chapter 1. Directed and undirected graphs --   |t Chapter 2. Graphs and matrices --   |t Chapter 3. Categories and functors --   |t Chapter 4. Binary graph operations --   |t Chapter 5. Line graph and other unary graph operations --   |t Chapter 6. Graphs and vector spaces --   |t Chapter 7. Graphs, groups and monoids --   |t Chapter 8. The characteristic polynomial of graphs --   |t Chapter 9. Graphs and monoids --   |t Chapter 10. Compositions, unretractivities and monoids --   |t Chapter 11. Cayley graphs of semigroups --   |t Chapter 12. Vertex transitive Cayley graphs --   |t Chapter 13. Embeddings of Cayley graphs – genus of semigroups --   |t Bibliography --   |t Index --   |t Index of symbols 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Algebraic topology. 
650 0 |a Graph theory. 
650 4 |a Algebraic. 
650 4 |a Graph Theory. 
650 4 |a Matrices. 
650 4 |a Monoids. 
650 4 |a Morphisms. 
650 7 |a MATHEMATICS / General.  |2 bisacsh 
653 |a Algebra. 
653 |a Graph Theory. 
653 |a Matrices. 
653 |a Monoids. 
653 |a Morphisms. 
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