Open AccessOn Fibonacci numbers in edge coloured trees
Author(s) -
Urszula Bednarz,
Dorota Bród,
Anetta SzynalLiana,
Iwona Włoch,
Małgorzata Wołowiec-Musiał
Publication year - 2017
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2017.37.4.479
Subject(s) - fibonacci number , mathematics , combinatorics , enhanced data rates for gsm evolution , tree (set theory) , pisano period , fibonacci polynomials , artificial intelligence , computer science , orthogonal polynomials , difference polynomials
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
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