Description |
1 online resource (xvi, 308 pages). |
Physical Medium |
polychrome |
Description |
text file |
Series |
De Gruyter studies in mathematics ; 41
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De Gruyter studies in mathematics ; 41.
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Bibliography |
Includes bibliographical references and index. |
Summary |
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. |
Contents |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Language |
In English. |
Subject |
Graph theory.
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Graph theory. |
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Algebraic topology.
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Algebraic topology. |
Genre/Form |
Electronic books.
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Other Form: |
Print version: Knauer, U., 1942- Algebraic graph theory. Berlin ; Boston : De Gruyter, ©2011 (DLC) 2011017050 |
ISBN |
9783110255096 (electronic book) |
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311025509X (electronic book) |
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1283400448 |
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9781283400442 |
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9783110254082 (alkaline paper) |
Standard No. |
10.1515/9783110255096 |
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