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Volumn 46, Issue 1, 2005, Pages 71-76

The Cayley-Menger determinant is irreducible for n ≥ 3

Author keywords

Cayley Menger determinant; Irreducible polynomial; Volume of a simplex

Indexed keywords


EID: 15044359985     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11202-005-0007-0     Document Type: Article
Times cited : (31)

References (9)
  • 1
    • 0003649603 scopus 로고
    • Springer-Verlag Berlin
    • M. Berger 1987 Geometry Springer-Verlag Berlin
    • (1987) Geometry
    • Berger, M.1
  • 3
    • 15044353304 scopus 로고
    • Une caractérisation purement métrique des variétés riemanniennes à courbure constante
    • E. B. Christoffel, Birkhäuser, Basel etc.
    • Berger M., "Une caractérisation purement métrique des variétés riemanniennes à courbure constante," in: E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences, Birkhäuser, Basel etc., 1981, pp. 480-492.
    • (1981) The Influence of His Work on Mathematics and the Physical Sciences , pp. 480-492
    • Berger, M.1
  • 5
    • 0039941695 scopus 로고    scopus 로고
    • The volume of a polyhedron as a function of its metric
    • 4
    • I. K. Sabitov 1996 The volume of a polyhedron as a function of its metric Fund. Prikl. Mat. 2 4 1235 1246
    • (1996) Fund. Prikl. Mat. , vol.2 , pp. 1235-1246
    • Sabitov, I.K.1
  • 6
    • 0032264877 scopus 로고    scopus 로고
    • The volume as a metric invariant of polyhedra
    • 4
    • I. K. Sabitov 1998 The volume as a metric invariant of polyhedra Discrete Comput. Geom. 20 4 405 425
    • (1998) Discrete Comput. Geom. , vol.20 , pp. 405-425
    • Sabitov, I.K.1
  • 7
    • 15044364351 scopus 로고    scopus 로고
    • Generating edge-disjoint sets of quadruples in parallel for the molecular conformation problem
    • N. Deo P. Micikevicius 2000 Generating edge-disjoint sets of quadruples in parallel for the molecular conformation problem Congr. Numer. 143 81 96
    • (2000) Congr. Numer. , vol.143 , pp. 81-96
    • Deo, N.1    Micikevicius, P.2
  • 8
    • 15044340794 scopus 로고
    • Use of Cayley-Menger determinants in the calculation of molecular structures
    • M. Klapper D. DeBrota 1980 Use of Cayley-Menger determinants in the calculation of molecular structures J. Comput. Phys. 37 56 69
    • (1980) J. Comput. Phys. , vol.37 , pp. 56-69
    • Klapper, M.1    Debrota, D.2
  • 9
    • 3042551103 scopus 로고    scopus 로고
    • Computer algebra methods for studying and computing molecular conformations
    • 2-3
    • I. Z. Emiris B. Mourrain 1999 Computer algebra methods for studying and computing molecular conformations Algorithmica 25 2-3 372 402
    • (1999) Algorithmica , vol.25 , pp. 372-402
    • Emiris, I.Z.1    Mourrain, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.