| 000 | 03178nam a22005295i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-8364-1 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082758.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120922s2013 xxu| s |||| 0|eng d | ||
| 020 |
_a9780817683641 _9978-0-8176-8364-1 |
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| 024 | 7 |
_a10.1007/978-0-8176-8364-1 _2doi |
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| 050 | 4 | _aQA166-166.247 | |
| 072 | 7 |
_aPBV _2bicssc |
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| 072 | 7 |
_aMAT013000 _2bisacsh |
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| 082 | 0 | 4 |
_a511.5 _223 |
| 100 | 1 |
_aPisanski, Tomaž. _eauthor. |
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| 245 | 1 | 0 |
_aConfigurations from a Graphical Viewpoint _h[electronic resource] / _cby Tomaž Pisanski, Brigitte Servatius. |
| 264 | 1 |
_aBoston : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2013. |
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| 300 |
_aXIII, 279 p. 274 illus., 45 illus. in color. _bonline resource. |
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| 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 |
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| 490 | 1 | _aBirkhäuser Advanced Texts Basler Lehrbücher | |
| 505 | 0 | _aPreface -- Introduction -- Graphs -- Groups, Actions, and Symmetry -- Maps -- Combinatorial Configurations -- Geometric Configurations -- Index -- Bibliography. | |
| 520 | _aConfigurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is implemented to analyze incidence geometries. After a preview of configurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5 introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied. Geometric aspects, some historical remarks, references, and applications of classical configurations appear in the last chapter. With over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint is well suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicians and researchers. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGeometry, algebraic. | |
| 650 | 0 | _aCombinatorics. | |
| 650 | 0 | _aGeometry. | |
| 650 | 0 | _aTopology. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aGraph Theory. |
| 650 | 2 | 4 | _aGeometry. |
| 650 | 2 | 4 | _aCombinatorics. |
| 650 | 2 | 4 | _aTopology. |
| 650 | 2 | 4 | _aAlgebraic Geometry. |
| 700 | 1 |
_aServatius, Brigitte. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780817683634 |
| 830 | 0 | _aBirkhäuser Advanced Texts Basler Lehrbücher | |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-8176-8364-1 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c94210 _d94210 |
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