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Bestseller
BestsellerE-book
Author Knauer, Ulrich, 1942-

Title Algebraic graph theory : morphisms, monoids, and matrices / by Ulrich Knauer.

Publication Info. Berlin ; Boston : De Gruyter, [2011]
©2011

Item Status

Description 1 online resource (xvi, 308 pages).
Physical Medium polychrome
Description text file
Series De Gruyter studies in mathematics ; 41
De Gruyter studies in mathematics ; 41.
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.
Graph theory.
Algebraic topology.
Algebraic topology.
Genre/Form Electronic books.
Other Form: Print version: Knauer, U., 1942- Algebraic graph theory. Berlin ; Boston : De Gruyter, ©2011 (DLC) 2011017050
ISBN 9783110255096 (electronic book)
311025509X (electronic book)
1283400448
9781283400442
9783110254082 (alkaline paper)
Standard No. 10.1515/9783110255096