메뉴 건너뛰기




Volumn 163, Issue 6, 2009, Pages 720-731

On the chromatic number of ℝ9

Author keywords

[No Author keywords available]

Indexed keywords


EID: 73249148833     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-009-9708-4     Document Type: Article
Times cited : (8)

References (16)
  • 2
    • 1842625061 scopus 로고    scopus 로고
    • Finite Euclidean Ramsey theory
    • K. Cantwell, "Finite Euclidean Ramsey theory," J. Combin. Theory, Ser. A, 73, No. 2, 273-285 (1996).
    • (1996) J. Combin. Theory, Ser. A , vol.73 , Issue.2 , pp. 273-285
    • Cantwell, K.1
  • 3
    • 67651157586 scopus 로고    scopus 로고
    • On the chromatic number of real and rational spaces
    • J. Cibulka, "On the chromatic number of real and rational spaces," Geombinatorics, 18, No. 2, 53-66 (2008).
    • (2008) Geombinatorics , vol.18 , Issue.2 , pp. 53-66
    • Cibulka, J.1
  • 4
    • 73249126069 scopus 로고    scopus 로고
    • On the independence numbers of some distance graphs with vertices in {-1, 0, 1}n: Estimates, conjectures, and applications to the Nelson-Erdo{double acute}s-Hadwiger and Borsuk problems
    • A. E. Guterman, V. K. Lyubimov, A. M. Raigorodskii, and S. A. Usachev, "On the independence numbers of some distance graphs with vertices in {-1, 0, 1}n: estimates, conjectures, and applications to the Nelson-Erdo{double acute}s-Hadwiger and Borsuk problems," Mat. Zametki (2009).
    • (2009) Mat. Zametki
    • Guterman, A.E.1    Lyubimov, V.K.2    Raigorodskii, A.M.3    Usachev, S.A.4
  • 5
    • 41549156738 scopus 로고    scopus 로고
    • An estimate for the chromatic number of the space ℝ4
    • L. L. Ivanov, "An estimate for the chromatic number of the space ℝ4," Usp. Mat. Nauk, 61, No. 5, 371-372 (2006).
    • (2006) Usp. Mat. Nauk , vol.61 , Issue.5 , pp. 371-372
    • Ivanov, L.L.1
  • 6
    • 0002818116 scopus 로고
    • Asymptotic investigation of the set covering problem
    • N. N. Kuzyurin, "Asymptotic investigation of the set covering problem," Probl. Kibern., No. 37, 19-56 (1980).
    • (1980) Probl. Kibern. , Issue.37 , pp. 19-56
    • Kuzyurin, N.N.1
  • 7
    • 84976175804 scopus 로고
    • The realization of distances within sets in Euclidean space
    • D. G. Larman and C. A. Rogers, "The realization of distances within sets in Euclidean space," Mathematika, 19, 1-24 (1972).
    • (1972) Mathematika , vol.19 , pp. 1-24
    • Larman, D.G.1    Rogers, C.A.2
  • 8
    • 0005196226 scopus 로고
    • Solution to problem 10
    • L. Moser and W. Moser, "Solution to problem 10," Can. Math. Bull., 4, 187-189 (1961).
    • (1961) Can. Math. Bull. , vol.4 , pp. 187-189
    • Moser, L.1    Moser, W.2
  • 9
    • 31244431950 scopus 로고    scopus 로고
    • On the space chromatic number
    • O. Nechushtan, "On the space chromatic number," Discrete Math., 256, 499-507 (2002).
    • (2002) Discrete Math. , vol.256 , pp. 499-507
    • Nechushtan, O.1
  • 10
    • 0000126770 scopus 로고    scopus 로고
    • Systems of common representatives
    • A. M. Raigorodskii, "Systems of common representatives," Fundam. Prikl. Mat., 5, No. 3, 851-860 (1999).
    • (1999) Fundam. Prikl. Mat. , vol.5 , Issue.3 , pp. 851-860
    • Raigorodskii, A.M.1
  • 11
    • 0041082751 scopus 로고    scopus 로고
    • The Borsuk problem and the chromatic numbers of some metric spaces
    • A. M. Raigorodskii, "The Borsuk problem and the chromatic numbers of some metric spaces," Russ. Math. Surv., 56, No. 1, 103-139 (2001).
    • (2001) Russ. Math. Surv. , vol.56 , Issue.1 , pp. 103-139
    • Raigorodskii, A.M.1
  • 12
    • 66749129174 scopus 로고    scopus 로고
    • [in Russian], Moscow Center for Continuous Mathematical Education (MCCME), Moscow
    • A. M. Raigorodskii, The Chromatic Numbers [in Russian], Moscow Center for Continuous Mathematical Education (MCCME), Moscow (2003).
    • (2003) The Chromatic Numbers
    • Raigorodskii, A.M.1
  • 13
    • 36049022123 scopus 로고    scopus 로고
    • [in Russian], Moscow Center for Continuous Mathematical Education (MCCME), Moscow
    • A. M. Raigorodskii, The Linear Algebra Method in Combinatorics [in Russian], Moscow Center for Continuous Mathematical Education (MCCME), Moscow (2007).
    • (2007) The Linear Algebra Method in Combinatorics
    • Raigorodskii, A.M.1
  • 14
    • 43749091308 scopus 로고    scopus 로고
    • The chromatic number of the plane: Its past, present and future
    • A. Soifer, "The chromatic number of the plane: its past, present and future," Mat. Prosveshchenie, No. 8 (2004).
    • (2004) Mat. Prosveshchenie , Issue.8
    • Soifer, A.1
  • 15
    • 24544463963 scopus 로고    scopus 로고
    • Erdo{double acute}s on unit distances and the Szemerédi-Trotter theorems
    • Bolyai Soc. Math. Stud, G. Halász (Ed.), Berlin: Springer
    • L. A. Székely, "Erdo{double acute}s on unit distances and the Szemerédi-Trotter theorems," in: G. Halász, ed., Paul Erdo{double acute}s and His Mathematics II. Based on Conf., Budapest, Hungary, July 4-11, 1999, Bolyai Soc. Math. Stud., Vol. 11, Springer, Berlin (2002), pp. 649-666.
    • (2002) Paul Erdo{double acute}s and His Mathematics II. Based on Conf., Budapest, Hungary, July 4-11, 1999 , vol.11 , pp. 649-666
    • Székely, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.