Algebraic Graph Theory : : Morphisms, Monoids and Matrices / / Ulrich Knauer, Kolja Knauer.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
• VerfasserIn: Knauer, Ulrich,; Knauer, Kolja,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2019]; ©2019
• Year of Publication: 2019
• Edition: 2nd rev. and ext. ed.
• Language: English
• Series: De Gruyter Studies in Mathematics , 41
• Physical Description: 1 online resource (XVIII, 331 p.)
• Other title: Frontmatter --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110617368; 9783110762464; 9783110719567; 9783110494938; 9783110616859; 9783110610765; 9783110664232; 9783110610406; 9783110606362
• ISSN: 0179-0986
• DOI: 10.1515/9783110617368
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Ulrich Knauer, Kolja Knauer.

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.