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The rigidity of graphs. II. (English) Zbl 0441.05046


MSC:

05C99 Graph theory
05C38 Paths and cycles
05C10 Planar graphs; geometric and topological aspects of graph theory

Citations:

Zbl 0392.05026
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Full Text: DOI

References:

[1] Alexandrov, A.D, Konvexe polyeder, (1958), Akademie-Verlag Berlin
[2] Asimow, L; Roth, B, The rigidity of graphs, Trans. amer. math. soc., 245, 279-289, (1978) · Zbl 0392.05026
[3] Barnette, D; Grünbaum, B, On Steinitz’s theorem concerning convex 3-polytopes and on some properties of planar graphs, () · Zbl 0194.25003
[4] Gluck, H, Almost all simply connected closed surfaces are rigid, (), 225-239
[5] Grünbaum, B, Lectures on lost mathematics, ()
[6] Laman, G, On graphs and rigidity of plane skeletal structures, J. engrg math., 4, 331-340, (1970) · Zbl 0213.51903
[7] {\scW. Whiteley}, Introduction to structural geometry. I. Infinitesimal motions and infinitesimal rigidity, preprint.
[8] {\scW. Whiteley}, Infinitesimally rigid polyhedra, preprint. · Zbl 0657.51014
[9] Connelly, R, A counterexample to the rigidity conjecture for polyhedra, Inst. hautes études sci. publ. math., 47, 333-338, (1978) · Zbl 0375.53034
[10] Connelly, R, A flexible sphere, Math. intelligencer, 1, 130-131, (1978) · Zbl 0404.57018
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