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Volumn 36, Issue 2, 2008, Pages 215-222

Polytopes and arrangements: Diameter and curvature

Author keywords

Arrangements; Central path; Diameter; Polytopes; Total curvature

Indexed keywords

ANALOG COMPUTERS; CURVE FITTING; NUMERICAL METHODS;

EID: 39149117422     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2007.06.007     Document Type: Article
Times cited : (16)

References (16)
  • 1
    • 39149084347 scopus 로고
    • An upper bound for the diameter of a polytope
    • Barnette D. An upper bound for the diameter of a polytope. Discrete Math. 10 (1974) 9-13
    • (1974) Discrete Math. , vol.10 , pp. 9-13
    • Barnette, D.1
  • 4
    • 22644436277 scopus 로고    scopus 로고
    • On the curvature of the central path of linear programming theory
    • Dedieu J.-P., Malajovich G., and Shub M. On the curvature of the central path of linear programming theory. Found. Comput. Math. 5 (2005) 145-171
    • (2005) Found. Comput. Math. , vol.5 , pp. 145-171
    • Dedieu, J.-P.1    Malajovich, G.2    Shub, M.3
  • 5
    • 21144445783 scopus 로고    scopus 로고
    • Newton flow and interior point methods in linear programming
    • Dedieu J.-P., and Shub M. Newton flow and interior point methods in linear programming. International J. Bifurcation Chaos 15 (2005) 827-839
    • (2005) International J. Bifurcation Chaos , vol.15 , pp. 827-839
    • Dedieu, J.-P.1    Shub, M.2
  • 6
    • 39149136148 scopus 로고    scopus 로고
    • A. Deza, T. Terlaky, Y. Zinchenko, Central path curvature and iteration-complexity for redundant Klee-Minty cubes, In: D. Gao, H. Sherali (Eds.), Advances in Mechanics and Mathematics III, 2007, pp. 215-248.
    • A. Deza, T. Terlaky, Y. Zinchenko, Central path curvature and iteration-complexity for redundant Klee-Minty cubes, In: D. Gao, H. Sherali (Eds.), Advances in Mechanics and Mathematics III, 2007, pp. 215-248.
  • 7
    • 39149098425 scopus 로고    scopus 로고
    • A. Deza, F. Xie, Hyperplane arrangements with large average diameter, AdvOL-Report 2007/5, McMaster University, 2007.
    • A. Deza, F. Xie, Hyperplane arrangements with large average diameter, AdvOL-Report 2007/5, McMaster University, 2007.
  • 8
    • 0003659472 scopus 로고    scopus 로고
    • More polytopes meeting the conjectured Hirsch bound
    • Fritzsche K., and Holt F. More polytopes meeting the conjectured Hirsch bound. Discrete Math. 205 (1999) 77-84
    • (1999) Discrete Math. , vol.205 , pp. 77-84
    • Fritzsche, K.1    Holt, F.2
  • 10
    • 0032392327 scopus 로고    scopus 로고
    • Many polytopes meeting the conjectured Hirsch bound
    • Holt F., and Klee V. Many polytopes meeting the conjectured Hirsch bound. Discrete Comput. Geometry 20 (1998) 1-17
    • (1998) Discrete Comput. Geometry , vol.20 , pp. 1-17
    • Holt, F.1    Klee, V.2
  • 11
    • 84967739006 scopus 로고
    • A quasi-polynomial bound for the diameter of graphs of polyhedra
    • Kalai G., and Kleitman D. A quasi-polynomial bound for the diameter of graphs of polyhedra. Bull. Am. Math. Soc. 26 (1992) 315-316
    • (1992) Bull. Am. Math. Soc. , vol.26 , pp. 315-316
    • Kalai, G.1    Kleitman, D.2
  • 12
    • 0013011054 scopus 로고
    • The d-step conjecture for polyhedra of dimension d < 6
    • Klee V., and Walkup D. The d-step conjecture for polyhedra of dimension d < 6. Acta Math. 133 (1967) 53-78
    • (1967) Acta Math. , vol.133 , pp. 53-78
    • Klee, V.1    Walkup, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.