메뉴 건너뛰기




Volumn 21, Issue 4, 1999, Pages 481-517

Stresses and liftings of cell-complexes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033455936     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009434     Document Type: Article
Times cited : (26)

References (55)
  • 1
    • 0012955596 scopus 로고
    • Generalized Dirichlet tessellations
    • P. Ash and E. Bolker, Generalized Dirichlet tessellations, Geom. Dedicata 20 (1986), 209-243.
    • (1986) Geom. Dedicata , vol.20 , pp. 209-243
    • Ash, P.1    Bolker, E.2
  • 2
    • 0039581983 scopus 로고
    • Convex polyhedra, Dirichlet tessellations, and spider webs
    • M. Senechal and G. Fleck, eds., Boston: Birkhäuser
    • P. Ash, E. Bolker, H. Crapo and W. Whitely, Convex polyhedra, Dirichlet tessellations, and spider webs, in Shaping Space: A Polyhedral Approach, M. Senechal and G. Fleck, eds., Boston: Birkhäuser, 1988, pp. 231-250.
    • (1988) Shaping Space: A Polyhedral Approach , pp. 231-250
    • Ash, P.1    Bolker, E.2    Crapo, H.3    Whitely, W.4
  • 3
    • 84910798687 scopus 로고
    • Recognizing polytopical cell complexes and constructing projection polyhedra
    • F. Aurenhammer, Recognizing polytopical cell complexes and constructing projection polyhedra, J. Symbolic Comput. 3 (1987), 249-255.
    • (1987) J. Symbolic Comput. , vol.3 , pp. 249-255
    • Aurenhammer, F.1
  • 5
    • 0038534810 scopus 로고
    • A relationship between Gale transforms and Voronoi diagrams
    • F. Aurenhammer, A relationship between Gale transforms and Voronoi diagrams, Discrete Appl. Math. 28 (1990), 83-91.
    • (1990) Discrete Appl. Math. , vol.28 , pp. 83-91
    • Aurenhammer, F.1
  • 6
    • 84976826673 scopus 로고
    • Voronoi diagrams: A survey of a fundamental data structure
    • F. Aurenhammer, Voronoi diagrams: a survey of a fundamental data structure, ACM Comput. Surveys 23 (1991), 345-405.
    • (1991) ACM Comput. Surveys , vol.23 , pp. 345-405
    • Aurenhammer, F.1
  • 7
    • 0026155709 scopus 로고
    • Using Gale transforms in computational geometry
    • F. Aurenhammer, Using Gale transforms in computational geometry, Math. Programming 52 (1991), 179-190.
    • (1991) Math. Programming , vol.52 , pp. 179-190
    • Aurenhammer, F.1
  • 8
    • 0000422096 scopus 로고
    • Homology of smooth splines: Generic triangulations and a conjecture of Strang
    • L. Billera, Homology of smooth splines: generic triangulations and a conjecture of Strang, Trans. Amer. Math. Soc. 310 (1988), 325-340.
    • (1988) Trans. Amer. Math. Soc. , vol.310 , pp. 325-340
    • Billera, L.1
  • 9
    • 0011591142 scopus 로고
    • Algebra of continuous piecewise polynomials
    • L. Billera, Algebra of continuous piecewise polynomials, Adv. in Math. 76 (1989), 170-183.
    • (1989) Adv. in Math. , vol.76 , pp. 170-183
    • Billera, L.1
  • 10
    • 84972217679 scopus 로고
    • A convex 3-complex not simplicially isomorphic to a strictly convex complex
    • R. Connelly and D. W. Henderson, A convex 3-complex not simplicially isomorphic to a strictly convex complex, Math. Proc. Cambridge Philos. Soc. 88(2) (1980), 299-306.
    • (1980) Math. Proc. Cambridge Philos. Soc. , vol.88 , Issue.2 , pp. 299-306
    • Connelly, R.1    Henderson, D.W.2
  • 11
    • 0030369928 scopus 로고    scopus 로고
    • Second-order rigidity and prestress stability for tensegrity frameworks
    • R. Connelly and W. Whiteley, Second-order rigidity and prestress stability for tensegrity frameworks, SIAM J. Discrete Math. 9(3) (1996), 453-491.
    • (1996) SIAM J. Discrete Math. , vol.9 , Issue.3 , pp. 453-491
    • Connelly, R.1    Whiteley, W.2
  • 12
    • 0001878937 scopus 로고
    • Plane stresses and projected polyhedra, 1: The basic pattern
    • H. Crapo and W. Whiteley, Plane stresses and projected polyhedra, 1: the basic pattern. Structural Topology 19 (1993), 55-78.
    • (1993) Structural Topology , vol.19 , pp. 55-78
    • Crapo, H.1    Whiteley, W.2
  • 13
    • 0001295603 scopus 로고
    • Spaces of stresses, projections and parallel drawings for spherical polyhedra
    • H. Crapo and W. Whiteley, Spaces of stresses, projections and parallel drawings for spherical polyhedra, Contrib. Algebra Geom. 35(2) (1994), 259-281.
    • (1994) Contrib. Algebra Geom. , vol.35 , Issue.2 , pp. 259-281
    • Crapo, H.1    Whiteley, W.2
  • 15
    • 0039581970 scopus 로고
    • The set of non-linearity of a convex piecewise-linear function
    • C. Davis, The set of non-linearity of a convex piecewise-linear function, Scripta Math. 24 (1959), 219-228.
    • (1959) Scripta Math. , vol.24 , pp. 219-228
    • Davis, C.1
  • 17
    • 0008473425 scopus 로고
    • Sur ls partition reǵulier̀e de l'espace a 4 dimensions
    • B. N. Delaunay [Delone], Sur ls partition reǵulier̀e de l'espace a 4 dimensions, Bull. Acad. Sci. URSS (1929), No. 1, 79-110, No. 2, 147-171.
    • (1929) Bull. Acad. Sci. URSS , Issue.1 , pp. 79-110
    • Delaunay, B.N.1
  • 18
    • 84922472828 scopus 로고    scopus 로고
    • B. N. Delaunay [Delone], Sur ls partition reǵulier̀e de l'espace a 4 dimensions, Bull. Acad. Sci. URSS (1929), No. 1, 79-110, No. 2, 147-171.
    • Bull. Acad. Sci. URSS , Issue.2 , pp. 147-171
  • 19
    • 0040767492 scopus 로고
    • The geometry of positive quadratic forms
    • B. N. Delone, The geometry of positive quadratic forms, Uspekhi Mat. Nauk 3 (1937), 16-62; 4 (1938), 102-164.
    • (1937) Uspekhi Mat. Nauk , vol.3 , pp. 16-62
    • Delone, B.N.1
  • 20
    • 0040173312 scopus 로고
    • B. N. Delone, The geometry of positive quadratic forms, Uspekhi Mat. Nauk 3 (1937), 16-62; 4 (1938), 102-164.
    • (1938) Uspekhi Mat. Nauk , vol.4 , pp. 102-164
  • 23
    • 51249162203 scopus 로고    scopus 로고
    • The union of balls and its dual shape
    • H. Edelsbrunner, The union of balls and its dual shape, Discrete Comput. Geom. 13(3-4) (1996), 415-440.
    • (1996) Discrete Comput. Geom. , vol.13 , Issue.3-4 , pp. 415-440
    • Edelsbrunner, H.1
  • 24
    • 0000670028 scopus 로고    scopus 로고
    • Incremental topological flipping works for regular triangulations
    • H. Edelsbrunner and N. Shah, Incremental topological flipping works for regular triangulations, Algorithmica 15 (1996), 223-241.
    • (1996) Algorithmica , vol.15 , pp. 223-241
    • Edelsbrunner, H.1    Shah, N.2
  • 25
    • 84922457159 scopus 로고    scopus 로고
    • Dicings and Voronoi conjecture on parallelohedra
    • to appear
    • R. M. Erdahl, Dicings and Voronoi conjecture on parallelohedra, European J. Combin., to appear.
    • European J. Combin.
    • Erdahl, R.M.1
  • 27
    • 84922468289 scopus 로고
    • On combinatorial structures of line drawings of polyhedra
    • H. Imai, On combinatorial structures of line drawings of polyhedra, Discrete Appl. Math. 9 (1984), 47-67.
    • (1984) Discrete Appl. Math. , vol.9 , pp. 47-67
    • Imai, H.1
  • 28
    • 0040304596 scopus 로고    scopus 로고
    • P.L.-spheres, convex polytopes, and stress
    • C. W. Lee, P.L.-spheres, convex polytopes, and stress, Discrete Comput. Geom. 15 (1996), 389-421.
    • (1996) Discrete Comput. Geom. , vol.15 , pp. 389-421
    • Lee, C.W.1
  • 29
    • 0005288503 scopus 로고
    • Providence, RI: American Mathematical Society
    • S. Lefschetz, Algebraic Topology, Providence, RI: American Mathematical Society, 1942.
    • (1942) Algebraic Topology
    • Lefschetz, S.1
  • 30
    • 0001766634 scopus 로고
    • On reciprocal diagrams and diagrams of forces
    • J. C. Maxwell, On reciprocal diagrams and diagrams of forces, Phil. Mag. Ser. 4 27 (1864), 250-261.
    • (1864) Phil. Mag. Ser. 4 , vol.27 , pp. 250-261
    • Maxwell, J.C.1
  • 31
    • 84958469724 scopus 로고
    • On reciprocal diagrams, frames and diagrams of forces
    • J. C. Maxwell, On reciprocal diagrams, frames and diagrams of forces, Trans. Roy. Soc. Edinburgh 26 (1869-72), 1-40.
    • (1869) Trans. Roy. Soc. Edinburgh , vol.26 , pp. 1-40
    • Maxwell, J.C.1
  • 32
    • 0039066034 scopus 로고
    • Representations of polytopes and polyhedral sets
    • P. McMullen, Representations of polytopes and polyhedral sets, Geom. Dedicata 2 (1973), 83-99.
    • (1973) Geom. Dedicata , vol.2 , pp. 83-99
    • McMullen, P.1
  • 33
    • 33846881962 scopus 로고
    • On simple polytopes
    • P. McMullen, On simple polytopes, Invent. Math. 113(2) (1993), 419-444.
    • (1993) Invent. Math. , vol.113 , Issue.2 , pp. 419-444
    • McMullen, P.1
  • 34
    • 0040128644 scopus 로고
    • Duality, sections and projections of certain Euclidean tilings
    • P. McMullen, Duality, sections and projections of certain Euclidean tilings, Geom. Dedicata 49(2) (1994), 183-202.
    • (1994) Geom. Dedicata , vol.49 , Issue.2 , pp. 183-202
    • McMullen, P.1
  • 35
  • 37
    • 0040153333 scopus 로고    scopus 로고
    • Generatrissa: The problems of Maxwell and Voronoi
    • S. S. Ryshkov and K. A. Rybnikov, Jr., Generatrissa: the problems of Maxwell and Voronoi, Dokl. Math. 54(1) (1996), 614-617.
    • (1996) Dokl. Math. , vol.54 , Issue.1 , pp. 614-617
    • Ryshkov, S.S.1    Rybnikov K.A., Jr.2
  • 38
    • 21744447950 scopus 로고    scopus 로고
    • The theory of quality translation with applications to tilings
    • S. S. Ryshkov and K. A. Rybnikov, Jr., The theory of quality translation with applications to tilings, European J. Combin. 18(4) (1997), 431-445.
    • (1997) European J. Combin. , vol.18 , Issue.4 , pp. 431-445
    • Ryshkov, S.S.1    Rybnikov K.A., Jr.2
  • 39
    • 0040767483 scopus 로고
    • Diagrams for positive bases
    • G. C. Shephard, Diagrams for positive bases, J. London Math. Soc. (2) 4 (1971), 165-175.
    • (1971) J. London Math. Soc. , vol.4 , Issue.2 , pp. 165-175
    • Shephard, G.C.1
  • 40
    • 51249187864 scopus 로고
    • Spherical complexes and radial projections of polytopes
    • G. C. Shephard, Spherical complexes and radial projections of polytopes, Israel J. Math. 9 (1971), 257-262.
    • (1971) Israel J. Math. , vol.9 , pp. 257-262
    • Shephard, G.C.1
  • 43
    • 0039581956 scopus 로고
    • Approximation of a tesselation of the plane by a Voronoi diagram
    • A. Suzuki and M. Iri, Approximation of a tesselation of the plane by a Voronoi diagram, J. Oper. Res. Soc. Japan 29(1) (1986), 69-96.
    • (1986) J. Oper. Res. Soc. Japan , vol.29 , Issue.1 , pp. 69-96
    • Suzuki, A.1    Iri, M.2
  • 44
    • 21844502732 scopus 로고
    • Skeletal rigidity of simplicial complexes, 1, 2
    • T.-S. Tay, N. White and W. Whiteley, Skeletal rigidity of simplicial complexes, 1, 2, European J. Combin. 16 (1995), 381-403, 503-523.
    • (1995) European J. Combin. , vol.16 , pp. 381-403
    • Tay, T.-S.1    White, N.2    Whiteley, W.3
  • 45
    • 34249963031 scopus 로고
    • 1.5n) L) arithmetic operation
    • 1.5n) L) arithmetic operation, Math. Programming 47 (1990), 175-202.
    • (1990) Math. Programming , vol.47 , pp. 175-202
    • Vaidya, P.M.1
  • 46
    • 84927514013 scopus 로고
    • Nouvelles applications des paramèters continus à la théorie des formes quadratiques, deuxième mémoire
    • G. F. Voronoi, Nouvelles applications des paramèters continus à la théorie des formes quadratiques, Deuxième mémoire, J. Reine Angew. Math. 134 (1908), 198-287, 136 (1909), 67-178.
    • (1908) J. Reine Angew. Math. , vol.134 , pp. 198-287
    • Voronoi, G.F.1
  • 47
    • 84927514013 scopus 로고
    • G. F. Voronoi, Nouvelles applications des paramèters continus à la théorie des formes quadratiques, Deuxième mémoire, J. Reine Angew. Math. 134 (1908), 198-287, 136 (1909), 67-178.
    • (1909) J. Reine Angew. Math. , vol.136 , pp. 67-178
  • 48
    • 0003128910 scopus 로고
    • Motions and stress of projected polyhedra
    • W. Whiteley, Motions and stress of projected polyhedra, Structural Topology 7 (1982), 13-38.
    • (1982) Structural Topology , vol.7 , pp. 13-38
    • Whiteley, W.1
  • 50
    • 0002619025 scopus 로고
    • A matroid on hypergraphs with applications to scene analysis and geometry
    • W. Whiteley, A matroid on hypergraphs with applications to scene analysis and geometry, Discrete Comput. Geom. 4 (1989), 75-95.
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 75-95
    • Whiteley, W.1
  • 52
    • 0028750451 scopus 로고
    • How to describe or design a polyhedron
    • W. Whiteley, How to describe or design a polyhedron, J. Intel. Robotic Systems 11 (1994), 135-160.
    • (1994) J. Intel. Robotic Systems , vol.11 , pp. 135-160
    • Whiteley, W.1
  • 53
    • 0002856165 scopus 로고    scopus 로고
    • Matroidsfrom discrete geometry
    • W. Whiteley, Matroidsfrom Discrete Geometry, Contemporary Mathematics, Vol. 197, 1996, pp. 171-312.
    • (1996) Contemporary Mathematics , vol.197 , pp. 171-312
    • Whiteley, W.1
  • 54
    • 0039446712 scopus 로고
    • Verscharfung eines Satzes vom Woronoi
    • O. Zhitomirski, Verscharfung eines Satzes vom Woronoi, Z. Leningrad. Fiz.-Mat. Obsc. 2 (1929), 131-151.
    • (1929) Z. Leningrad. Fiz.-Mat. Obsc. , vol.2 , pp. 131-151
    • Zhitomirski, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.