Alternating sign matrix: Difference between revisions

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* [[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), 637–646.

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

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

* 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), 333–337.

* 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), 237–243., {{arxiv|cond-mat/0108103}}

* [[David P. Robbins|Robbins, David P.]], The story of <math>1, 2, 7, 42, 429, 7436, \dots</math>, ''The Mathematical Intelligencer'', 13 (2), 12–19 (1991), {{doi|10.1007/BF03024081}}.

* [[Doron Zeilberger|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), 59–68.

==External links==