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![The graphs B 2[3],1 , B 2[3,1],1 and B 2[3;1],1](profile/Ismail-Naci-Cangul/publication/347459387/figure/fig2/AS:974054882291713@1609244189458/The-graphs-B-23-1-B-23-1-1-and-B-231-1.jpg)
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![Figure 5 The graphs B 2[3],1 , B 2[3,1],1 and B 2[3;1],1](profile/Ismail-Naci-Cangul/publication/347459387/figure/fig2/AS:974054882291713@1609244189458/The-graphs-B-23-1-B-23-1-1-and-B-231-1_Q320.jpg)
Special numbers have very important mathematical properties alongside their numerous applications in many fields of science. Probably the most important of those is the Fibonacci numbers. In this paper, we use a generalization of Fibonacci numbers called tribonacci numbers having very limited properties and relations compared to Fibonacci numbers. T...
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Let $ \mathscr{G} $ be a molecular graph, the eccentricity $ e(w) $ of the vertex $ w $ in $ \mathscr{G} $ is the maximum distance of $ w $ from any other vertex of $ \mathscr{G} $. The non-self-centrality number (NSC) of a graph $ \mathscr{G} $ is defined by $ N(\mathscr{G}) = \sum_{w\not = z}|e(w)-e(z)|, $ where summation goes over all the unorde...
The determinant Hosoya triangle , is a triangular array where the entries are the determinants of two-by-two Fibonacci matrices. The determinant Hosoya triangle mod 2 gives rise to three infinite families of graphs, that are formed by complete product (join) of (the union of) two complete graphs with an empty graph. We give a necessary and sufficie...
The Hosoya index is equal to total number of matchings and the Merrifield-Simmons index is equal to total number of independent sets. The Hosoya index of cyclic alkanes, the Hosoya index and the Merrifield-Simmons index of 1-methyl bicyclo [X.1.0] alkanes are possess same value which is represented by Lucas sequence. In this paper we investigate th...
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To gain better understanding of molecules, social nods, urban planning and other networks, we need to represent them as graphs which is why graph theory is a very active area in mathematics. In addition, it is well known that the Fibonacci sequence appears in many different areas. Recently, the Fibonacci and Lucas graphs were introduced and some of their algebraic properties were established. In this work, we consider generalized Lucas graphs and establish some algebraic properties. Studying the generalized Lucas graphs yields a wider class of graphs since the Fibonacci and Lucas graphs are special cases of the generalized Lucas graphs.
