## Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

### Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)

### DMTCS Conference Volume AA (2001), pp. 43-58

author: | James Propp |
---|---|

title: | The Many Faces of Alternating-Sign Matrices |

keywords: | Alternating-Sign Matrices, Tilings |

abstract: | I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, three-colorings, monotone triangles, tetrahedral order ideals, square ice, gasket-and-basket tilings and full packings of loops. |

If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |

reference: | James Propp (2001), The Many
Faces of Alternating-Sign Matrices, in Discrete Models:
Combinatorics, Computation, and Geometry, DM-CCG 2001,
Robert Cori and Jacques Mazoyer and Michel Morvan and
Rémy Mosseri (eds.), Discrete Mathematics and
Theoretical Computer Science Proceedings AA, pp.
43-58 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

ps.gz-source: | dmAA0103.ps.gz (60 K) |

ps-source: | dmAA0103.ps (375 K) |

pdf-source: | dmAA0103.pdf (250 K) |

The first *source* gives you
the `gzipped' PostScript, the second the plain PostScript and the
third the format for the Adobe accrobat reader. Depending on the
installation of your web browser, at least one of these should
(after some amount of time) pop up a window for you that shows
the full article. If this is not the case, you should contact
your system administrator to install your browser
correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.

Automatically produced on Di Sep 27 10:09:01 CEST 2005 by gustedt