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Volumn 40, Issue 4, 2008, Pages 528-536

Asymmetry of convex polytopes and vertex index of symmetric convex bodies

Author keywords

Asymmetry of polytopes; Illumination parameter; Measures of symmetry; Polytopes with few vertices; Vertex index

Indexed keywords


EID: 55349102368     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-008-9075-9     Document Type: Article
Times cited : (7)

References (10)
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    • Bezdek, K.1
  • 3
    • 33847294326 scopus 로고    scopus 로고
    • The illumination conjecture and its extensions
    • K. Bezdek 2006 The illumination conjecture and its extensions Period. Math. Hung. 53 59 69
    • (2006) Period. Math. Hung. , vol.53 , pp. 59-69
    • Bezdek, K.1
  • 4
    • 34547651424 scopus 로고    scopus 로고
    • On the vertex index of convex bodies
    • K. Bezdek A.E. Litvak 2007 On the vertex index of convex bodies Adv. Math. 215 626 641
    • (2007) Adv. Math. , vol.215 , pp. 626-641
    • Bezdek, K.1    Litvak, A.E.2
  • 5
    • 0141788234 scopus 로고    scopus 로고
    • On the asymmetry constant of a body with few vertices
    • E.D. Gluskin A.E. Litvak 2002 On the asymmetry constant of a body with few vertices Geom. Dedicate 90 45 48
    • (2002) Geom. Dedicate , vol.90 , pp. 45-48
    • Gluskin, E.D.1    Litvak, A.E.2
  • 7
    • 0000448119 scopus 로고
    • Measures of symmetry for convex sets
    • Am. Math. Soc. Providence
    • Grünbaum, B.: Measures of symmetry for convex sets. In: Proc. Sympos. Pure Math., vol. VII, pp. 233-270. Am. Math. Soc., Providence (1963)
    • (1963) Proc. Sympos. Pure Math., Vol. VII , pp. 233-270
    • Grünbaum, B.1
  • 8
    • 0000679816 scopus 로고    scopus 로고
    • Combinatorial problems on the illumination of convex bodies
    • H. Martini V. Soltan 1999 Combinatorial problems on the illumination of convex bodies Aequationes Math. 57 121 152
    • (1999) Aequationes Math. , vol.57 , pp. 121-152
    • Martini, H.1    Soltan, V.2
  • 9
    • 80054795233 scopus 로고
    • A sufficient condition for an integral operator to have a trace
    • W. Stinespring 1958 A sufficient condition for an integral operator to have a trace J. Reine Angew. Math. 200 200 207
    • (1958) J. Reine Angew. Math. , vol.200 , pp. 200-207
    • Stinespring, W.1
  • 10
    • 0000142609 scopus 로고
    • Inequalities between the two kinds of eigenvalues of a linear transformation
    • H. Weyl 1949 Inequalities between the two kinds of eigenvalues of a linear transformation Proc. Natl. Acad. Sci. USA 35 408 411
    • (1949) Proc. Natl. Acad. Sci. USA , vol.35 , pp. 408-411
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.