| 000 | 02223nam a22003377a 4500 | ||
|---|---|---|---|
| 001 | sulb-eb0015400 | ||
| 003 | BD-SySUS | ||
| 005 | 20160405134433.0 | ||
| 008 | 100506s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511760426 (ebook) | ||
| 020 | _z9780521113670 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA166 _b.T47 2011 |
| 082 | 0 | 0 |
_a511/.5 _222 |
| 100 | 1 |
_aTerras, Audrey, _eauthor. |
|
| 245 | 1 | 0 |
_aZeta Functions of Graphs : _bA Stroll through the Garden / _cAudrey Terras. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
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| 300 |
_a1 online resource (252 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 0 |
_aCambridge Studies in Advanced Mathematics ; _v128 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016). | ||
| 520 | _aGraph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander/Ramanujan graphs of interest in computer science. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout. | ||
| 650 | 0 | _aGraph theory | |
| 650 | 0 | _aFunctions, Zeta | |
| 776 | 0 | 8 |
_iPrint version: _z9780521113670 |
| 830 | 0 |
_aCambridge Studies in Advanced Mathematics ; _v128. |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9780511760426 |
| 942 |
_2Dewey Decimal Classification _ceBooks |
||
| 999 |
_c37244 _d37244 |
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