Open AccessFibonacci and telephone numbers in extremal trees
Author(s) -
Urszula Bednarz,
Iwona Włoch
Publication year - 2017
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1997
Subject(s) - mathematics , fibonacci number , combinatorics , tree (set theory) , discrete mathematics
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 the telephone numbers.
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