000 04146nam a22005535i 4500
001 978-0-8176-4580-9
003 DE-He213
005 20161121231125.0
007 cr nn 008mamaa
008 100505s2007 xxu| s |||| 0|eng d
020 _a9780817645809
_9978-0-8176-4580-9
024 7 _a10.1007/978-0-8176-4580-9
_2doi
050 4 _aQA150-272
072 7 _aPBD
_2bicssc
072 7 _aMAT008000
_2bisacsh
082 0 4 _a511.1
_223
100 1 _aWallis, W. D.
_eauthor.
245 1 2 _aA Beginner’s Guide to Graph Theory
_h[electronic resource] /
_cby W. D. Wallis.
250 _aSecond Edition.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2007.
300 _aXX, 260 p. 160 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aGraphs -- Walks, Paths and Cycles -- Connectivity -- Trees -- Linear Spaces Associated with Graphs -- Factorizations -- Graph Colorings -- Planarity -- Labeling -- Ramsey Theory -- Digraphs -- Critical Paths -- Flows in Networks -- Computational Considerations -- Communications Networks and Small-Worlds.
520 _aGraph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, management science, social science, and resource planning. Graphs arise as mathematical models in these fields, and the theory of graphs provides a spectrum of methods of proof. This concisely written textbook is intended for an introductory course in graph theory for undergraduate mathematics majors or advanced undergraduate and graduate students from the many fields that benefit from graph-theoretic applications. Key features: * Introductory chapters present the main ideas and topics in graph theory—walks, paths and cycles, radius, diameter, eccentricity, cuts and connectivity, trees * Subsequent chapters examine specialized topics and applications * Numerous examples and illustrations * Comprehensive index and bibliography, with suggested literature for more advanced material New to the second edition: * New chapters on labeling and on communications networks and small-worlds * Expanded beginner’s material in the early chapters, including more examples, exercises, hints and solutions to key problems * Many additional changes, improvements, and corrections throughout resulting from classroom use and feedback Striking a balance between a theoretical and practical approach with a distinctly applied flavor, this gentle introduction to graph theory consists of carefully chosen topics to develop graph-theoretic reasoning for a mixed audience. Familiarity with the basic concepts of set theory, along with some background in matrices and algebra, and a little mathematical maturity are the only prerequisites. ----- From a review of the first edition: "Altogether the book gives a comprehensive introduction to graphs, their theory and their application…The use of the text is optimized when the exercises are solved. The obtained skills improve understanding of graph theory as well… It is very useful that the solutions of these exercises are collected in an appendix." —Simulation News Europe.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aMatrix theory.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aMathematical logic.
650 0 _aDiscrete mathematics.
650 0 _aCombinatorics.
650 1 4 _aMathematics.
650 2 4 _aDiscrete Mathematics.
650 2 4 _aCombinatorics.
650 2 4 _aAlgebra.
650 2 4 _aApplications of Mathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817644840
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4580-9
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508957
_d508957