Opuscula Math. 37, no. 4 (2017), 479-490
http://dx.doi.org/10.7494/OpMath.2017.37.4.479
Opuscula Mathematica
On Fibonacci numbers in edge coloured trees
Urszula Bednarz
Dorota Bród
Anetta Szynal-Liana
Iwona Włoch
Małgorzata Wołowiec-Musiał
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.
