3 research outputs found
Note about sequences of extrema -edge coloured trees
In this paper we determine successive extremal trees with respect to the number of all -edge colourings
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 the telephone numbers
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 the telephone numbers