Fibonacci and Telephone Numbers in Extremal Trees

In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings. We show connections between these numbers and Fibonacci numbers as well as...

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Bibliographic Details
Main Authors: Bednarz Urszula, Włoch Iwona
Format: Article
Language:English
Published: Sciendo 2018-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1997