000			03994nam a22004935i 4500
001			978-0-8176-4580-9
003			DE-He213
005			20251006084436.0
007			cr nn 008mamaa
008			100505s2007 xxu| s |||| 0|eng d
020			_a9780817645809
020			_a99780817645809
024	7		_a10.1007/978-0-8176-4580-9 _2doi
082	0	4	_a511.6 _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, 260p. 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	_aCOMBINATORICS.
650		0	_aLOGIC, SYMBOLIC AND MATHEMATICAL.
650	1	4	_aMATHEMATICS.
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 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59710 _d59710