The problems of Borsuk, Hadwiger, and Grünbaum for some classes of polytopes and graphs

Doklady Mathematics

Volumn 67, Issue 1, 2003, Pages 85-89

  Raigorodskii, A M ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

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EID: 0037259313     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Borsuk, K., Fund. Math., 1933, vol. 20, pp. 177-190.
2. Danzer, L., Grünbaum, B., and Klee, V., Helly's Theorem and Its Relatives, Klee, V., Ed., Providence, 1963, pp. 99-180. Translated under the title Teorema Khelli i ee primeneniya, Moscow: Mir, 1968.
3. Hadwiger, H., Elem. Math., 1961, vol. 16, pp. 103-104.
4. Boltyanski, V.G., Martini, H., and Soltan, P.S., Excursions into Combinatorial Geometry, Berlin: Springer-Verlag, 1997.
5. Raigorodskii, A.M., Usp. Mat. Nauk, 2001, vol. 56, no. l, pp. 107-146.
6. Bourgain, J. and Lindenstrauss, J., Lecture Notes Math., 1991, vol. 1469, pp. 138-144.
7. Raigorodskii, A.M., Usp. Mat. Nauk, 1999, vol. 54, no. 2, pp. 185-186.
8. Raigorodskii, A.M., Usp. Mat. Nauk, 2000, vol. 55, no. 2, pp. 147-148.
9. Larman, D.G. and Rogers, C.A., Mathematika, 1972, vol. 19, pp. 1-24.
10. Ziegler, G.M., Lect. Notes Comput. Sci., 2001, vols. 21/22, pp. 159-171.
11. Raigorodskii, A.M., Dokl. Akad. Nauk, 2000, vol. 61, pp. 256-259.
12. Raigorodskii, A.M., Dokl. Akad. Nauk, 2002, vol. 65, no. 5, pp. 413-416.
13. Raigorodskii, A.M., Mat. Sb., 2002, vol. 193, no. 10.
14. Raigorodskii, A.M., Fund. Prikl. Mat., 1999, vol. 5, no. 3, pp. 851-860.
15. Ahlswede, R. and Khachatrian, L.H., J. Combin. Theory. Ser. A, 1996, vol. 76, pp. 121-138.