For a graph G, its Fibonacci number—simply denoted by F (G)—is defined as the number of subsets of V (G) in which no two vertices are adjacent in G, i.e. in graph-theoretical terminology, the number of independent sets of G, including the empty set.
May 15, 2007 · The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number ...
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The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number.
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number.
The Fibonacci number of a graph, defined by Prodinger and Tichy in 1982, is the number of independent sets on the graph. The Fibonacci number of the path ...
A bijective proof is given for the following theorem: the number of com- positions of n into odd parts equals the number of compositions of n + 1 into parts.
In analogy to a concept of Fibonacci trees, we define the leaf-Fibonacci tree of size $n$ and investigate its number of nonisomorphic leaf-induced subtrees.
Graphs, Partitions and Fibonacci Numbers. / Ziegler, Volker; Tichy, Robert; Wagner, Stephan. In: Discrete Applied Mathematics, Vol. 155, No. 10, 2007, p. 1175- ...
May 6, 2017 · Abstract. AbstractThe Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with ...