ENGLISH

Algebraic Graph Theory: Morphisms, Monoids and Matrices

By Ulrich Knauer; Kolja Knauer

Book information

Publisher
de Gruyter
Year
2019
ISBN
9783110617368, 9783110616125
Language
english
Format
PDF
Filesize
6 MB (6109916 bytes)
Series
De Gruyter Studies in Mathematics; 41
Edition
2nd rev. and ext. ed.
Pages
349\350
Time added
2023-06-01 00:50:41

Description

Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues. Discusses connections between graphs and semigroups/monoids. Studies several types of graph morphisms which are of interest for many applications. New material includes characteristics and current results on Cayley graphs, and new figures. Preface Preface For The Second Edition Contents 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 Semigroups 10. Compositions, Unretractivities, And Monoids 11. Cayley Graphs Of Semigroups 12. Vertex Transitive Cayley Graphs 13. Embeddings Of Cayley Graphs—Genus Of Semigroups List Of Cited Papers, Theses Etc List Of Books Index Index Of Symbols

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