Dropping a vertex or a facet from a convex polytope

Forum Mathematicum

Volumn 13, Issue 3, 2001, Pages 359-378

  Reisner, Shlomo ^a   Schütt, Carsten ^b   Werner, Elisabeth ^c,d  

^a UNIVERSITY OF HAIFA   (Israel)

^b UNIVERSITY OF KIEL   (Germany)

^c CASE WESTERN RESERVE UNIVERSITY   (United States)

^d UNIV LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035531576     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.2001.012     Document Type: Article

References (13)

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3. Bronshteyn, E. M. and Ivanov, L. D.: The Approximation of Convex Sets by Polyhedra. Siberian Math. J. 16 (1975) (English translation), 852-853
4. Dudley, R. M.: Metric Entropy of Some Classes of Sets with Differentiable Boundaries. J. Approx. Th. 10 (1974), 227-236
5. Gordon, Y., Meyer, M. and Reisner, S.: Constructing a Polytope to Approximate a Convex Body. Geometriae Dedicata 57 (1995), 217-222
6. Gordon, Y., Reisner, S. and Schütt, C.: Umbrellas and Polytopal Approximation of the Euclidean Ball. J. Approximation Th. 90 (1997), 9-22
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8. John, F.: Extremum Problems with Inequalities as Subsidary Conditions. Courant Anniversary Volume. Interscience, N.Y. 1948, pp. 187-204
9. Lopez, M. A. and Reisner, S.: Efficient Approximation of Convex Polygons. International J. of Computational Geometry and Appl. to appear
10. Macbeath, A. M.: An Extremal Property of the Hypersphere. Proc. Cambridge Philos. Soc. 47 (1951), 245-247
11. Rényi, A. and Sulanke, R.: Über die Hülle von n zufällig gewählten Punkten. Z. Wahrscheinlichkeitstheorie verw. Gebiete 2 (1963), 75-84
12. Ruskai, M. B. and Werner, E.: Study of a Class of Regularizations of 1/|x|, using Gaussian Integrals. SIAM J. of Math. Analysis, to appear
13. Schneider, R.: Convex Bodies, the Brunn-Minkowski Theory. Cambridge Univ. Press, 1993