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

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

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Bibliographic Details
Main Author: Krzysztof Piejko
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2015/463650
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