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An algorithm for the directed T-immersion of a graph

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Graph Theory Singapore 1983

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

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Abstract

In this paper, a general algorithm to T-immerse a graph in the plane is proposed. The computer programme of this algorithm is also given.

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References

  1. Wu Wen-Tsun, A mathematical problem in design for integrated circuit, J. Mathematics in practice and theory, 1 (1973), 20–40 [Chinese].

    Google Scholar 

  2. Wu Wen-Tsun, On the realization of complexes in euclidean spaces, I. Acta Math. Sinica, 5, (1955), 505–552; II. Acta Math. Sinica, 1, (1957), 80–101; III. Acta Math. Sinica, 8, (1958), 79–94. [Chinese]

    MathSciNet  MATH  Google Scholar 

  3. Liu Yan-pei, Modulo-2 programming and planar embeddings, Acta Math. Appl. Sinica, Vol. 1, No. 4 (1978), 321–329. [Chinese]

    MathSciNet  Google Scholar 

  4. Liu Yan-pei, Planarity testing and planar embeddings of graphs, Acta Math. Appl. Sinica, Vol. 2, No. 4 (1979), 350–365. [Chinese]

    MathSciNet  Google Scholar 

  5. R. Tarjan, Depth-first search and linear graph algorithms, SIAM J. Comput. 1, 2 (June 1972), 146–159.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. Hopcroft and R. Tarjan, Efficient planarity testing, J. Assoc. Comput. Mach. 21, 4 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  7. E. M. Reingold, J. Nievergelt and N. Deo, Combinational Algorithms, Prentice-Hall, 1977.

    Google Scholar 

  8. H. Siefert and W. Threlfall, Topology, Dresden, 1934.

    Google Scholar 

  9. R. K. Guy, T. Jenkyns and J. Schaer, The toroidal crossing number of the complete graph, J. Comb. Theory, 4 (1968), 376–390.

    Article  MathSciNet  MATH  Google Scholar 

  10. H. Harborth and I. Mengersen, Edges without crossing in drawings of complete graphs, J. Comb. Theory ser. B, 17 (1974), 299–311.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. L. Gross and S. R. Alpert, Branched coverings of graph imbeddings, Bull. Amer. Math. Soc. 79 (1973), 942–945.

    Article  MathSciNet  MATH  Google Scholar 

  12. D. E. Knuth, The Art of Computer Programming, Addison-Wesley, 1973.

    Google Scholar 

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Authors

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Khee Meng Koh Hian Poh Yap

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© 1984 Springer-Verlag

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Wei-Wu, F. (1984). An algorithm for the directed T-immersion of a graph. 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/BFb0073125

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  • DOI: https://doi.org/10.1007/BFb0073125

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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

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