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Generating algorithm for quasi-full Steiner tree

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Algorithms and Computation (ISAAC 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 834))

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Abstract

In this paper, the notion of quasi-full Steiner tree (QFST) is introduced which is an extension of full Steiner tree (FST). We discuss some properties of QFST,and present a generating algorithm for obtaining a QFST or denying its existence. With this algorithm we can obtain a minimum QFST that is just the Steiner minimal tree (SMT) if it has the quasi-full topology.

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References

  1. F. R. K. Chung and R. L. Graham, Steiner trees for Ladders. Ann. Discrete Math. 2(1978), 173–200.

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  2. D.Z. Du,F. K. Hwang, G. D. Song and G. Y. Ting, Steiner minimal trees on sets of four points, Discrete Comput. Ceom. 2(1987), 401–414.

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  3. D. Z. Du,F. K. Hwang and J. F. Weng, Steiner minimal trees on Zig-Zag lines,Trans. Amer. Math. soc. 278(1983), 149–156.

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  4. D. Z. Du and F. K. Hwang, Steiner minimal trees for Bar waves. Acta Math. Appl. Sinica 3(1987), 246–256.

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  5. E. N. Gilbert and H. O. Pollak, Steiner minimal trees,SIAM J. Appl. Math. 16(1968),1–29.

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Ding-Zhu Du Xiang-Sun Zhang

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© 1994 Springer-Verlag Berlin Heidelberg

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Ding, J. (1994). Generating algorithm for quasi-full Steiner tree. In: Du, DZ., Zhang, XS. (eds) Algorithms and Computation. ISAAC 1994. Lecture Notes in Computer Science, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58325-4_208

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  • DOI: https://doi.org/10.1007/3-540-58325-4_208

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58325-7

  • Online ISBN: 978-3-540-48653-4

  • eBook Packages: Springer Book Archive

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