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Volumn 270, Issue 1-3, 2003, Pages 137-147

New sets with large Borsuk numbers

Author keywords

Borsuk's conjecture; Few distance sets; Spherical codes

Indexed keywords

CODES (SYMBOLS); COMPUTATIONAL METHODS; ESTIMATION; NUMBER THEORY; THEOREM PROVING;

EID: 0043032713     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(02)00833-6     Document Type: Article
Times cited : (18)

References (13)
  • 1
    • 0001320722 scopus 로고
    • Three theorems on the n -dimensional sphere
    • in German
    • Borsuk K. Three theorems on the. n -dimensional sphere Fund. Math. 20:1933;177-190. (in German).
    • (1933) Fund. Math. , vol.20 , pp. 177-190
    • Borsuk, K.1
  • 4
    • 84963015763 scopus 로고
    • Covering a three-dimensional set with sets of smaller diameter
    • Eggleston H.G. Covering a three-dimensional set with sets of smaller diameter. J. London Math. Soc. 30:1955;11-24.
    • (1955) J. London Math. Soc. , vol.30 , pp. 11-24
    • Eggleston, H.G.1
  • 5
    • 31244437499 scopus 로고    scopus 로고
    • Spherical codes and Borsuk's conjecture
    • Hinrichs A. Spherical codes and Borsuk's conjecture. Discrete Math. 243:2002;253-256.
    • (2002) Discrete Math. , vol.243 , pp. 253-256
    • Hinrichs, A.1
  • 7
    • 0002322449 scopus 로고
    • On Borsuk's problem
    • H. Barcelo, G. Kalai (Eds.), American Mathematical Society, Providence, RI
    • A. Nilli, On Borsuk's problem, in: H. Barcelo, G. Kalai (Eds.), Jerusalem Combinatorics '93, American Mathematical Society, Providence, RI, 1994, pp. 209-210.
    • (1994) Jerusalem Combinatorics '93 , pp. 209-210
    • Nilli, A.1
  • 8
    • 0012894751 scopus 로고
    • Sur la subdivision des ensembles en parties de diamètre inférieur
    • Perkal J. Sur la subdivision des ensembles en parties de diamètre inférieur. Colloq. Math. 1:1947;45.
    • (1947) Colloq. Math. , vol.1 , pp. 45
    • Perkal, J.1
  • 10
    • 0039269123 scopus 로고    scopus 로고
    • On dimensionality in the Borsuk problem
    • (English translation in Russian Math. Surveys 52 (1997) 1324-1325) (in Russian)
    • Raigorodskii A.M. On dimensionality in the Borsuk problem. Uspekhi Mat. Nauk. 52:1997;181-182. (English translation in Russian Math. Surveys 52 (1997) 1324-1325) (in Russian).
    • (1997) Uspekhi Mat. Nauk , vol.52 , pp. 181-182
    • Raigorodskii, A.M.1
  • 11
    • 0033462933 scopus 로고    scopus 로고
    • On a bound in the Borsuk problem
    • (English translation in Russian Math. Surveys 54 (1999) 453-454) (in Russian)
    • Raigorodskii A.M. On a bound in the Borsuk problem. Uspekhi Mat. Nauk. 54:1999;185-186. (English translation in Russian Math. Surveys 54 (1999) 453-454) (in Russian).
    • (1999) Uspekhi Mat. Nauk , vol.54 , pp. 185-186
    • Raigorodskii, A.M.1
  • 12
    • 85018485710 scopus 로고    scopus 로고
    • The Borsuk problem and the chromatic numbers of some metric spaces
    • (English translation in Russian Math. Surveys 56 (2001) 103-139) (in Russian)
    • Raigorodskii A.M. The Borsuk problem and the chromatic numbers of some metric spaces. Uspekhi Mat. Nauk. 56:2001;107-146. (English translation in Russian Math. Surveys 56 (2001) 103-139) (in Russian).
    • (2001) Uspekhi Mat. Nauk , vol.56 , pp. 107-146
    • Raigorodskii, A.M.1
  • 13
    • 0040892586 scopus 로고    scopus 로고
    • Sets with large Borsuk number
    • Weißbach B. Sets with large Borsuk number. Beiträge Algebra Geom. 41:2000;417-423.
    • (2000) Beiträge Algebra Geom. , vol.41 , pp. 417-423
    • Weißbach, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.