Add to ORKGAbstract. Several sequences of graphs are introduced whose perfect matching numbers, or Kekulé numbers, K(G), are either Fibonacci or Lucas numbers, or their multiples. Since the ratio of the K(G)s of consecutive members converges to the golden ratio, these sequences of graphs belong to another class of golden family graphs. 1
16 pages, 8 figuresInternational audienceWe introduce the $k$-bonacci polyominoes, a new family of p...
The original concept of Fibonacci's series is extended to allow more realistic physical conditions (...
Abstract: A Smarandache-Fibonacci triple is a sequence S(n), n ≥ 0 such that S(n) = S(n − 1) + S(n ...
Abstract. Several sequences of graphs are introduced whose perfect matching numbers, or Kekulé numbe...
Abstract. By defining the non-adjacent number, p(G, k), and topological index, ZG, for a graph G, se...
Special number sequences play important role in many areas of science. One of them named as Fibonacc...
In this note we construct families of graphs whose Hosoya indices, i.e., the total numbers of matchi...
AbstractFor a positive integer k⩾2, the k-Fibonacci sequence {gn(k)} is defined as: g1(k)=⋯=gk−2(k)=...
AbstractIn this paper, we give a new interpretation of the generalized Fibonacci numbers and the gen...
Fibonacci numbers arise in the solution of many combinatorial problems. They count the number of bin...
AbstractIn this paper we give a generalization of known sequences and then we give their graph repre...
In this paper, we define a class of Fibonacci graphs as graphs whose adjacency matrices are obtained...
The Fibonacci number sequence is famous for its connection to the Golden Ratio and its appearance wi...
The paper deals with some generalizations of Fibonacci and Lucas sequences, arising from powers of p...
In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e.,...
16 pages, 8 figuresInternational audienceWe introduce the $k$-bonacci polyominoes, a new family of p...
The original concept of Fibonacci's series is extended to allow more realistic physical conditions (...
Abstract: A Smarandache-Fibonacci triple is a sequence S(n), n ≥ 0 such that S(n) = S(n − 1) + S(n ...
Abstract. Several sequences of graphs are introduced whose perfect matching numbers, or Kekulé numbe...
Abstract. By defining the non-adjacent number, p(G, k), and topological index, ZG, for a graph G, se...
Special number sequences play important role in many areas of science. One of them named as Fibonacc...
In this note we construct families of graphs whose Hosoya indices, i.e., the total numbers of matchi...
AbstractFor a positive integer k⩾2, the k-Fibonacci sequence {gn(k)} is defined as: g1(k)=⋯=gk−2(k)=...
AbstractIn this paper, we give a new interpretation of the generalized Fibonacci numbers and the gen...
Fibonacci numbers arise in the solution of many combinatorial problems. They count the number of bin...
AbstractIn this paper we give a generalization of known sequences and then we give their graph repre...
In this paper, we define a class of Fibonacci graphs as graphs whose adjacency matrices are obtained...
The Fibonacci number sequence is famous for its connection to the Golden Ratio and its appearance wi...
The paper deals with some generalizations of Fibonacci and Lucas sequences, arising from powers of p...
In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e.,...
16 pages, 8 figuresInternational audienceWe introduce the $k$-bonacci polyominoes, a new family of p...
The original concept of Fibonacci's series is extended to allow more realistic physical conditions (...
Abstract: A Smarandache-Fibonacci triple is a sequence S(n), n ≥ 0 such that S(n) = S(n − 1) + S(n ...