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Extremal Trees with respect to Number of -Edge Colourings

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  • Krzysztof Piejko

Abstract

We determine the smallest and the largest number of -edge colourings in trees. We prove that the star is a unique tree that maximizes the number of all of the -edge colourings and that the path is a unique tree that minimizes it.

Suggested Citation

  • Krzysztof Piejko, 2015. "Extremal Trees with respect to Number of -Edge Colourings," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-5, December.
  • Handle: RePEc:hin:jnljam:463650
    DOI: 10.1155/2015/463650
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