TY  - JOUR
ID  - Bednarz2017
LB  - Bednarz2017
AU  - Bednarz, Urszula
AU  - Bród, Dorota
AU  - Szynal-Liana, Anetta
AU  - Włoch, Iwona
AU  - Wołowiec-Musiał, Małgorzata
TI  - On Fibonacci numbers in edge coloured trees
ST  - On Fibonacci numbers in edge coloured trees
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 4
SP  - 479
EP  - 490
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.4.479
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.4.479
AB  - 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.
KW  - edge colouring
KW  - tree
KW  - tripod
KW  - Fibonacci numbers
SN  - 1232-9274
ER  -