@Article{Bednarz2017,
author = "Bednarz, Urszula and Bród, Dorota and Szynal-Liana, Anetta and Włoch, Iwona and Wołowiec-Musiał, Małgorzata",
title = "On Fibonacci numbers in edge coloured trees",
journal = "Opuscula Math.",
year = "2017",
volume = "37",
number = "4",
pages = "479--490",
doi = "http://dx.doi.org/10.7494/OpMath.2017.37.4.479",
url = "http://dx.doi.org/10.7494/OpMath.2017.37.4.479",
abstract = "In this paper we show the applications of the Fibonacci numbers in edge coloured trees. We determine the second smallest number of all \((A,2B)\)-edge colourings in trees. We characterize the minimum tree achieving this second smallest value.",
keywords = "edge colouring, tree, tripod, Fibonacci numbers",
issn = "1232-9274"
}