The Many Faces of Alternating-Sign Matrices
Propp, James
HAL, hal-01182972 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-04
Classification:  Alternating-Sign Matrices,  Tilings,  [INFO]Computer Science [cs],  [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG],  [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-01182972,
     author = {Propp, James},
     title = {The Many Faces of Alternating-Sign Matrices},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01182972}
}

Propp, James. The Many Faces of Alternating-Sign Matrices. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182972/