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Rigidity of multi-graphs II

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1073)

Abstract

In this paper we present a short proof of the characterization theorem on the generic rigidity of a k-body linkage in n-space. As a by-product we find a new proof of Tutte and Nash-Williams' theorem on decomposing a graph into n connected factors.

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References

  1. J. C. Hopcroft and R. M. Karp, An n5/2 algorithm for maximum matchings in bipartite graphs, SIAM J. Comput., 2, 1973, 225–231.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C. St. J. A. Nash-Williams, Edge disjoint spanning trees of finite graphs, J. Lond. Math. Soc. 36 (1961), 445–450.

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  3. K. Sugihara, On redundant bracing in plane skeletal structures, Bull. Electrotech Lab., Japan, 44 (1980), 376–386.

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  4. T. S. Tay, Rigidity of multi-graphs I: Linking rigid bodies in n space, Research report No. 63, Math. Dept., National University of Singapore, (submitted for publication).

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  5. W. T. Tutte, On the problem of decomposing a graph into n connected factors, J. Lond. Math. Soc. 36 (1961), 221–230.

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  6. N. White and W. Whiteley, The algebraic geometry of motions in frameworks, preprint, to appear.

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© 1984 Springer-Verlag

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Tay, TS. (1984). Rigidity of multi-graphs II. In: Koh, K.M., Yap, H.P. (eds) Graph Theory Singapore 1983. Lecture Notes in Mathematics, vol 1073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073111

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  • DOI: https://doi.org/10.1007/BFb0073111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13368-1

  • Online ISBN: 978-3-540-38924-8

  • eBook Packages: Springer Book Archive