| 000 | 02980nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-4529-6 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083250.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120920s2012 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461445296 _9978-1-4614-4529-6 |
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| 024 | 7 |
_a10.1007/978-1-4614-4529-6 _2doi |
|
| 050 | 4 | _aQA166-166.247 | |
| 072 | 7 |
_aPBV _2bicssc |
|
| 072 | 7 |
_aMAT013000 _2bisacsh |
|
| 082 | 0 | 4 |
_a511.5 _223 |
| 100 | 1 |
_aBalakrishnan, R. _eauthor. |
|
| 245 | 1 | 2 |
_aA Textbook of Graph Theory _h[electronic resource] / _cby R. Balakrishnan, K. Ranganathan. |
| 250 | _a2nd ed. 2012. | ||
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2012. |
|
| 300 |
_aXIII, 292 p. 204 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUniversitext, _x0172-5939 |
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| 505 | 0 | _aPreface to the Second Edition -- Preface to the First Edition -- 1 Basic Results -- 2 Directed Graphs -- 3 Connectivity -- 4 Trees -- 5 Independent Sets and Matchings -- 6 Eulerian and Hamiltonian Graphs -- 7 Graph Colorings -- 8 Planarity -- 9 Triangulated Graphs -- 10 Domination in Graphs -- 11 Spectral Properties of Graphs -- Bibliography -- Index. | |
| 520 | _aGraph theory experienced a tremendous growth in the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This textbook provides a solid background in the basic topics of graph theory, and is intended for an advanced undergraduate or beginning graduate course in graph theory. This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter including a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism. This book also introduces several interesting topics such as Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aGraph Theory. |
| 700 | 1 |
_aRanganathan, K. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461445289 |
| 830 | 0 |
_aUniversitext, _x0172-5939 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-4529-6 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c101504 _d101504 |
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