UID:
almahu_9949481320602882
Format:
1 online resource (308 p.)
ISBN:
9783110255096
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 41
Content:
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.
Note:
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
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011, De Gruyter, 9783110261189
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011, De Gruyter, 9783110261233
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011, De Gruyter, 9783110261202
Additional Edition:
ISBN 9783110254082
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110255096
URL:
https://doi.org/10.1515/9783110255096
URL:
https://www.degruyter.com/isbn/9783110255096
URL:
Volltext
(lizenzpflichtig)
