Alternating sign matrix: Difference between revisions

Revision as of 11:50, 26 January 2018

Revision as of 18:59, 17 November 2018

Line 80:

==Further reading==

* [[David Bressoud|Bressoud, David M.]], ''Proofs and Confirmations'', MAA Spectrum, Mathematical Associations of America, Washington, D.C., 1999.

* [[David Bressoud|Bressoud, David M.]] and Propp, James, [http://www.ams.org/notices/199906/fea-bressoud.pdf How the alternating sign matrix conjecture was solved], ''Notices of the American Mathematical Society'', 46 (1999), 637-646637–646.

* Mills, William H., Robbins, David P., and Rumsey, Howard, Jr., Proof of the Macdonald conjecture, ''Inventiones Mathematicae'', 66 (1982), 73-8773–87.

* Mills, William H., Robbins, David P., and Rumsey, Howard, Jr., Alternating sign matrices and descending plane partitions, ''Journal of Combinatorial Theory, Series A'', 34 (1983), 340-359340–359.

* Propp, James, [https://arxiv.org/abs/math/0208125v1 The many faces of alternating-sign matrices], ''Discrete Mathematics and Theoretical Computer Science'', Special issue on ''Discrete Models: Combinatorics, Computation, and Geometry'' (July 2001).

* Razumov, A. V., Stroganov Yu. G., [https://arxiv.org/abs/math/0104216 Combinatorial nature of ground state vector of O(1) loop model], ''Theor. Math. Phys.'', '''138''' (2004), 333-337333–337.

* Razumov, A. V., Stroganov Yu. G., [https://arxiv.org/abs/cond-mat/0108103 O(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices], ''Theor. Math. Phys.'', '''142''' (2005), 237-243237–243.

* Robbins, David P., The story of <math>1, 2, 7, 42, 429, 7436, \cdotsdots</math>, ''The Mathematical Intelligencer'', 13 (2), 12-1912–19 (1991).

* Zeilberger, Doron, [http://nyjm.albany.edu:8000/j/1996/2-4.pdf Proof of the refined alternating sign matrix conjecture], ''New York Journal of Mathematics'' 2 (1996), 59-6859–68.

==External links==