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Experimental Mathematics Volume 8, 1999 - Issue 3
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Original Articles

On the Volume of the Polytope of Doubly Stochastic Matrices

Clara S. Chan IDA Center for Communications Research, 29 Thanet Road, Princeton, NJ, 08540, United States E-mail: [email protected]
&
David P. Robbins IDA Center for Communications Research, 29 Thanet Road, Princeton, NJ, 08540, United States E-mail: [email protected]
Pages 291-300 | Published online: 03 Apr 2012

Citations (22)

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ClaraS. Chan, DavidP. Robbins & DavidS. Yuen. (2000) On the Volume of a Certain Polytope. Experimental Mathematics 9:1, pages 91-99.
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Articles from other publishers (21)

Petter Brändén, Jonathan Leake & Igor Pak. (2022) Lower bounds for contingency tables via Lorentzian polynomials. Israel Journal of Mathematics 253:1, pages 43-90.
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Grzegorz Rajchel-Mieldzioć, Kamil Korzekwa, Zbigniew Puchała & Karol Życzkowski. (2022) Algebraic and geometric structures inside the Birkhoff polytope. Journal of Mathematical Physics 63:1.
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Bertrand Tavin. (2018) Measuring exposure to dependence risk with random Bernstein copula scenarios. European Journal of Operational Research 270:3, pages 873-888.
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Naoise Holohan, Douglas J. Leith & Oliver Mason. (2017) Extreme points of the local differential privacy polytope. Linear Algebra and its Applications 534, pages 78-96.
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Sylvie Corteel, Jang Soo Kim & Karola Mészáros. (2017) Flow polytopes with Catalan volumes. Comptes Rendus Mathematique 355:3, pages 248-259.
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Karola Mészáros, Alejandro H. Morales & Brendon Rhoades. (2016) The polytope of Tesler matrices. Selecta Mathematica 23:1, pages 425-454.
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Ben Cousins & Santosh Vempala. (2015) A practical volume algorithm. Mathematical Programming Computation 8:2, pages 133-160.
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Karola Mészáros & Alejandro H. Morales. (2015) Flow Polytopes of Signed Graphs and the Kostant Partition Function. International Mathematics Research Notices 2015:3, pages 830-871.
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Aaron Carl Smith. 2015. Mathematics and Computing. Mathematics and Computing 239 250 .
Adam J. Harper, Ashkan Nikeghbali & Maksym Radziwiłł. 2015. Analytic Number Theory. Analytic Number Theory 145 169 .
Katherine Burggraf, Jesús De Loera & Mohamed Omar. 2013. Discrete Geometry and Optimization. Discrete Geometry and Optimization 55 77 .
ANATOL N. KIRILLOV. (2012) ON SOME ALGEBRAIC AND COMBINATORIAL PROPERTIES OF DUNKL ELEMENTS. International Journal of Modern Physics B 26:27n28, pages 1243012.
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Charles Dunkl & Karol Życzkowski. (2009) Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant. Journal of Mathematical Physics 50:12.
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Valerio Cappellini, Hans-J?rgen Sommers, Wojciech Bruzda & Karol ?yczkowski. (2009) Random bistochastic matrices. Journal of Physics A: Mathematical and Theoretical 42:36, pages 365209.
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J. A. De Loera, F. Liu & R. Yoshida. (2008) A generating function for all semi-magic squares and the volume of the Birkhoff polytope. Journal of Algebraic Combinatorics 30:1, pages 113-139.
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Mathieu Sikirić, Achill Schürmann & Frank Vallentin. (2007) Classification of eight-dimensional perfect forms. Electronic Research Announcements of the American Mathematical Society 13:3, pages 21-32.
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Clara Chan, Lee Neuwirth, Alan Richter, Deborah Robbins & David Lieberman. (2005) David P. Robbins (1942–2003). Advances in Applied Mathematics 34:4, pages 647-653.
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Karol Zyczkowski, Marek Kus, Wojciech S omczy ski & Hans-J rgen Sommers. (2003) Random unistochastic matrices. Journal of Physics A: Mathematical and General 36:12, pages 3425-3450.
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Maya Ahmed, Jesús De Loera & Raymond Hemmecke. 2003. Discrete and Computational Geometry. Discrete and Computational Geometry 25 41 .
Günter M. Ziegler. 2000. Polytopes — Combinatorics and Computation. Polytopes — Combinatorics and Computation 1 41 .
Bertrand Tavin. (2016) Measuring Exposure to Dependence Risk with Random Bernstein Copula Scenarios. SSRN Electronic Journal.
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