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Coding the Vertices of a Graph with Rosenbloom-Tsfasman Metric

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Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

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Abstract

In this paper, we study the codability of graphs with respect to the Rosenbloom-Tsfasman metric. The possibilities of coding the vertices of connected graphs and disconnected graphs with this metric have been analyzed. Some comparisions between the codability of graphs with Rosenbloom-Tsfasman metric and Hamming metric have been made.

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References

  1. Breuer, M.A.: Coding the vertexes of a graph. IEEE Trans. Inform. Theory IT-12(2), 148–153 (1966)

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  2. Breuer, M.A., Folkman, J.: An unexpected result in coding the vertices of a graph. J. Math. Anal. Appl. 20, 583–600 (1967)

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  3. Rosenbloom, M.Y., Michael, A.: Tsfasman: Codes for the m-metric. Probl. Inf. Trans. 33, 55–63 (1997)

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© 2012 Springer-Verlag Berlin Heidelberg

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Rajkumar, R. (2012). Coding the Vertices of a Graph with Rosenbloom-Tsfasman Metric. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-28926-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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