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On Circular Flows Of Graphs

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A sufficient condition for graphs with circular flow index less than 4 is found in this paper. In particular, we give a simple proof of a result obtained by Galluccio and Goddyn (Combinatorica, 2002), and obtain a larger family of such graphs.

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Authors and Affiliations

  1. Department of Mathematics, West Virginia University, Morgantown, WV, 26506-6310, USA

    Hong-Jian Lai & Cun-Quan Zhang*

  2. Department of Mathematics, University of West Georgia, Carrollton, GA, 30118, USA

    Rui Xu

Authors
  1. Hong-Jian Lai
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  2. Rui Xu
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  3. Cun-Quan Zhang*
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Corresponding author

Correspondence to Hong-Jian Lai.

Additional information

* Partially supported by the National Security Agency under Grants MDA904-01-1-0022.

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Lai, HJ., Xu, R. & Zhang*, CQ. On Circular Flows Of Graphs. Combinatorica 27, 245–246 (2007). https://doi.org/10.1007/s00493-007-0055-0

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  • DOI: https://doi.org/10.1007/s00493-007-0055-0

Mathematics Subject Classification (2000):