| 000 | 02756nam a22004215i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-0797-3 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083733.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110823s2011 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461407973 _9978-1-4614-0797-3 |
||
| 024 | 7 |
_a10.1007/978-1-4614-0797-3 _2doi |
|
| 050 | 4 | _aQA166-166.247 | |
| 072 | 7 |
_aPBV _2bicssc |
|
| 072 | 7 |
_aMAT013000 _2bisacsh |
|
| 082 | 0 | 4 |
_a511.5 _223 |
| 100 | 1 |
_aOvchinnikov, Sergei. _eauthor. |
|
| 245 | 1 | 0 |
_aGraphs and Cubes _h[electronic resource] / _cby Sergei Ovchinnikov. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2011. |
|
| 300 |
_aXIII, 287p. 172 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUniversitext, _x0172-5939 |
|
| 505 | 0 | _aPreface -- 1 Graphs -- 2 Bipartite Graphs -- 3 Cubes -- 4 Cubical Graphs -- 5 Partial Cubes -- 6 Lattice Embeddings -- 7 Hyperplane Arrangements -- 8 Token Systems -- Notation -- References -- Index. | |
| 520 | _aThis introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. This branch of graph theory has developed rapidly during the past three decades, producing exciting results and establishing links to other branches of mathematics. Currently, Graphs and Cubes is the only book available on the market that presents a comprehensive coverage of cubical graph and partial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as a basis for research projects. The prerequisites for this text include familiarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topology of Euclidean spaces. While the book is intended for lower-division graduate students in mathematics, it will be of interest to a much wider audience; because of their rich structural properties, partial cubes appear in theoretical computer science, coding theory, genetics, and even the political and social sciences. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aGraph Theory. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461407966 |
| 830 | 0 |
_aUniversitext, _x0172-5939 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-0797-3 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106270 _d106270 |
||