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Volumn 47, Issue 2, 2006, Pages 447-462

Vector spaces spanned by the angle sums of polytopes

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EID: 41549103892     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 41549131625 scopus 로고    scopus 로고
    • Bayer, M. M.; Billera, L. J.: Counting Faces and Chain in Polytopes and Posets. In: Combinatorics and Algebra, Greene, C., (ed.), Contemp. Math. 34. Providence, Am. Math. Soc., 1984, 207-250.
    • Bayer, M. M.; Billera, L. J.: Counting Faces and Chain in Polytopes and Posets. In: Combinatorics and Algebra, Greene, C., (ed.), Contemp. Math. 34. Providence, Am. Math. Soc., 1984, 207-250.
  • 2
    • 0000180080 scopus 로고
    • Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
    • Bayer, M. M.; Billera, L. J.: Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets. Invent. Math. 79(1) (1985), 143-157.
    • (1985) Invent. Math , vol.79 , Issue.1 , pp. 143-157
    • Bayer, M.M.1    Billera, L.J.2
  • 3
    • 0001495610 scopus 로고
    • A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
    • Billera, L. J.; Lee, C. W.: A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes. J. Comb. Theory A 31 (1981), 237-255.
    • (1981) J. Comb. Theory A , vol.31 , pp. 237-255
    • Billera, L.J.1    Lee, C.W.2
  • 4
    • 33745272882 scopus 로고
    • Om rumvinklerne i et polyeder
    • Copenhagen
    • Gram, J. P.: Om rumvinklerne i et polyeder. Tidsskrift for Math. (Copenhagen), 4(3) (1874), 161-163.
    • (1874) Tidsskrift for Math , vol.4 , Issue.3 , pp. 161-163
    • Gram, J.P.1
  • 5
  • 7
    • 30244481289 scopus 로고
    • New results for simplicial spherical polytopes
    • Discrete and Computational Geometry New Brunswick, NJ, /, Math. Theor. Comput, Sci, Am. Math. Soc, Providence, RI, 1991
    • Kleinschmidt, P.; Smilansky, Z.: New results for simplicial spherical polytopes. In: Discrete and Computational Geometry (New Brunswick, NJ, 1989/1990), DIMACS Ser. Discr. Math. Theor. Comput, Sci. 6, Am. Math. Soc., Providence, RI, 1991, 187-197.
    • (1989) DIMACS Ser. Discr , vol.6 , pp. 187-197
    • Kleinschmidt, P.1    Smilansky, Z.2
  • 10
    • 23844469764 scopus 로고
    • Angle Sums of Convex Polytopes
    • Perles, M. A.; Shephard, G. C.: Angle Sums of Convex Polytopes. Math. Scand. 21 (1967), 199-218.
    • (1967) Math. Scand , vol.21 , pp. 199-218
    • Perles, M.A.1    Shephard, G.C.2
  • 11
    • 0040223357 scopus 로고
    • An Elementary Proof of Gram's Theorem for Convex Polytopes
    • Shephard, G.C.: An Elementary Proof of Gram's Theorem for Convex Polytopes. Can. J. Math. 19 (1967), 1214-1217.
    • (1967) Can. J. Math , vol.19 , pp. 1214-1217
    • Shephard, G.C.1
  • 12
    • 0039178514 scopus 로고
    • The relations connecting the angle-sums and the volume of a polytope in space of n dimensions
    • Sommerville, D. M. Y.: The relations connecting the angle-sums and the volume of a polytope in space of n dimensions. Proceedings Royal Soc. London, Ser. A, 115 (1927), 103-119.
    • (1927) Proceedings Royal Soc. London, Ser. A , vol.115 , pp. 103-119
    • Sommerville, D.M.Y.1
  • 13
    • 0000194752 scopus 로고
    • The number of faces of a simplicial convex polytope
    • Stanley, R.: The number of faces of a simplicial convex polytope. Adv. Math. 35 (1980), 236-238.
    • (1980) Adv. Math , vol.35 , pp. 236-238
    • Stanley, R.1
  • 14
    • 41549146148 scopus 로고
    • Gram's equation-a probabilistic proof
    • Results and trends in theoretical computer science, Springer, Berlin
    • Welzl, E.: Gram's equation-a probabilistic proof. In: Results and trends in theoretical computer science. Lecture Notes in Computer Science, 812, Springer, Berlin 1994.
    • (1994) Lecture Notes in Computer Science , vol.812
    • Welzl, E.1
  • 15
    • 0003222229 scopus 로고
    • Lectures on Polytopes
    • Springer-Verlag, New York
    • Ziegler, G. M.: Lectures on Polytopes. Graduate Texts in Mathematics 152. Springer-Verlag, New York 1995.
    • (1995) Graduate Texts in Mathematics , vol.152
    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.