Mixed Volumes and Slices of the Cube

Journal of Combinatorial Theory. Series A

Volumn 81, Issue 1, 1998, Pages 121-126

  Ehrenborg, R ^a   Readdy, M ^a   Steingrimsson E ^b  

^a Department of Obstetrics Gynecology   (United States)

^b UNIVERSITY OF GOTHENBURG   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347760650     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1997.2832     Document Type: Article

References (12)

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2. R. Ehrenborg and M. Readdy, The r-cubical lattice and a generalization of the cd-index, Europ. J. Combin. 17 (1996), 709-725.
3. D. Foata, Distribution Eulérienne et Mahoniennes sur le groupe des permutations, in "Higher Combinatorics, Proceedings of the Nato Advanced Study Institute, Berlin, West Germany, September 1-10, 1976" (M. Aigner, Ed.), pp. 27-49, Reidel, Dordrecht/Boston, 1977.
4. D. A. Klain and G.-C. Rota, "Introduction to Geometric Probability," Cambridge University Press, Cambridge, to appear.
5. M. de Laplace, "Oeuvres complètes," Vol. 7, réédité par Gauthier-Villars, Paris, 1886.
6. H. Minkowski, Theorie der Konvexen Körper, insbesondere Begründung ihres Oberflächenbegriffs, in "Gesammelte Abhandlungen von Hermann Minkowski," Vol. 2 (D. Hilbert, A. Speiser and H. Weyl, Eds.), pp. 131-229, Teubner, Leipzig/Berlin, 1911.
7. R. Schneider, "Convex Bodies: The Brunn-Minkowski Theory," Cambridge Univ. Press, Cambridge, 1993.
8. R. P. Stanley, Eulerian partitions of a unit hypercube, in "Higher Combinatorics, Proceedings of the NATO Advanced Study Institute, Berlin, West Germany, September 1-10, 1976" (M. Aigner, Ed.), p. 49, Reidel, Dordrecht/Boston, 1977.
9. R. P. Stanley, Two combinatorial applications of the Aleksandrov-Fenchel inequalities, J. Combin. Theory Ser. A 31 (1981), 56-65.
10. R. P. Stanley, "Enumerative Combinatorics," Vol. 1, Wadsworth and Brooks/Cole, Pacific Grove, 1986.
11. E. Steingrímsson, Permutation statistics of indexed permutations, Europ. J. Combin. 15 (1994), 187-205.
12. J. R. Sangwine-Yager, Mixed Volumes, in "Handbook of Convex Geometry," Vol. A (P. M. Gruber and J. M. Wills, Eds.), Chap. 1.2, Elsevier, Amsterdam, 1993.