Extremal Trees with respect to Number of ( A , B , 2 C ) -Edge Colourings

Krzysztof Piejko

doi:10.1155/2015/463650

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Home > Journals > J. Appl. Math. > Volume 2015 > Article

2015 Extremal Trees with respect to Number of

(A,B,2C)

-Edge Colourings

Krzysztof Piejko

J. Appl. Math. 2015: 1-5 (2015). DOI: 10.1155/2015/463650

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Abstract

We determine the smallest and the largest number of $(A,B,\mathrm{2}C)$ -edge colourings in trees. We prove that the star is a unique tree that maximizes the number of all of the $(A,B,\mathrm{2}C)$ -edge colourings and that the path is a unique tree that minimizes it.

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Krzysztof Piejko. "Extremal Trees with respect to Number of $(A,B,2C)$ -Edge Colourings." J. Appl. Math. 2015 1 - 5, 2015. https://doi.org/10.1155/2015/463650