On the volume of a certain polytope

Experimental Mathematics

Volumn 9, Issue 1, 2000, Pages 91-99

  Chan, Clara S ^a   Robbins, David P ^a   Yuen, David S ^b  

^a CENTER FOR COMMUNICATIONS RESEARCH   (United States)

^b LAKE FOREST COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034369029     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2000.10504639     Document Type: Article

References (8)

1. L. J. Billera and A. Sarangarajan, “The combinatorics of permutation polytopes”, pp. 1-23 in Formal power series and algebraic combinatorics (New Brunswick, NJ, 1994), edited by L. J. Billera et al., DIM ACS Series in Disc. Math, and Theor. Comp. Sci. 24, Amer. Math. Soc., Providence, RI, 1996.
2. C. S. Chan and D. P. Robbins, “On the volume of the polytope of doubly stochastic matrices”, Experiment. Math. 8:3 (1999), 291-300.
3. P. Diaconis and A. Gangolli, “Rectangular arrays with fixed margins”, pp. 15-41 in Discrete probability and algorithms (Minneapolis, 1993), edited by D. Aldous et al., IMA Volumes Math. Appl. 72, Springer, New York, 1995.
4. E. Ehrhart, Polynomes arithmetiques et methode des polyedres en combinatoire, International Series of Numerical Math. 35, Birkhauser, Basel, 1977.
5. T. Hibi, Algebraic combinatorics on convex polytopes, Carslaw Publications, Glebe, NSW, Australia, 1992.
6. A. Postnikov and R. P. Stanley, 1998. Private communication.
7. R. P. Stanley, “Decompositions of rational convex polytopes”, Ann. Discrete Math. 6 (1980), 333-342.
8. D. Zeilberger, “Proof of a conjecture of Chan, Robbins and Yuen”, Technical report, 1998. See http://xxx.lanl.gov/ps/math.CO/9811108.