Opuscula Mathematica
Opuscula Math. 37, no. 4 (), 479-490
Opuscula Mathematica

On Fibonacci numbers in edge coloured trees

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.
Mathematics Subject Classification: 11B37, 11C20, 15B36, 05C69.
Cite this article as:
Urszula Bednarz, Dorota Bród, Anetta Szynal-Liana, Iwona Włoch, Małgorzata Wołowiec-Musiał, On Fibonacci numbers in edge coloured trees, Opuscula Math. 37, no. 4 (2017), 479-490, http://dx.doi.org/10.7494/OpMath.2017.37.4.479
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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