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An Extension of the Prüfer Code and Assembly of Connected Graphs from Their Blocks

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Graphs and Combinatorics Aims and scope Submit manuscript

Abstract.

 We give an extension of the Prüfer code in order to count connected labeled graphs whose blocks are of given type. The Prüfer code records the way of assembling a connected labeled graph from its blocks.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education, Nagasaki University, Nagasaki 852-8521, Japan. e-mail: kajimoto@net.nagasaki-u.ac.jp, , , , , , JP

    Hiroshi Kajimoto

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  1. Hiroshi Kajimoto
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Received: March 15, 2001 Final version received: June 25, 2002

Acknowledgments. The author thanks R. Sawae and T. Sugawara for many helpful discussions and kind assistance. The author wishes to thank also the referees for precious comments and advices.

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Kajimoto, H. An Extension of the Prüfer Code and Assembly of Connected Graphs from Their Blocks. Graphs and Combinatorics 19, 231–239 (2003). https://doi.org/10.1007/s00373-002-0499-3

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  • DOI: https://doi.org/10.1007/s00373-002-0499-3

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