Zeros of chromatic and Tutte (Potts) polynomials and general Ising model, and their accumulation sets for families of graphs
About this item
| Description: |
Shrock, R (SUNY-Stony Brook)
Thursday 24 January 2008, 14:00-15:00 Zeros of Graph Polynomials |
|---|
| Created: | 2008-02-08 11:07 | ||
|---|---|---|---|
| Collection: | Combinatorics and Statistical Mechanics | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Shrock, R | ||
| Language: | eng (English) | ||
| Credits: |
|
||
| Abstract: | We discuss results on zeros of chromatic and Tutte polynomials (the latter being equivalent to the Potts model partition function ) in the q and temperature plane, and their accumulation sets for various families of graphs. We also present results on zeros of the q=2 Ising case in the presence of a nonzero magnetic field. This area combines combinatorics and graph theory with complex analysis and algebraic geometry, as well as statistical physics. A numer of areas for further research are suggested. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video * | 480x360 | 1.84 Mbits/sec | 1.01 GB | View | Download | |
| Flash Video | 480x360 | 807.03 kbits/sec | 440.95 MB | View | Download | |
| iPod Video | 480x360 | 505.4 kbits/sec | 276.14 MB | View | Download | |
| Windows Media Video (for download) | 480x360 | 478.58 kbits/sec | 261.49 MB | View | Download | |
| Windows Media Video (for streaming) | 480x360 | 447.19 kbits/sec | 244.34 MB | View | Download | Stream |
| RealMedia | 480x360 | 878.24 kbits/sec | 479.86 MB | View | Download | Stream |
| QuickTime (for download) | 384x288 | 848.68 kbits/sec | 463.71 MB | View | Download | |
| QuickTime (for streaming) | 480x360 | 908.14 kbits/sec | 496.20 MB | View | Download | |
| MP3 | 44100 Hz | 125.02 kbits/sec | 68.10 MB | Listen | Download | |
