[PDF] Top 20 Graphs with smallest forgotten index

... the forgotten index is just the special case of the first general Zagreb index for = ...unicyclic graphs with the first three smallest and greatest values of were ...bicyclic ... See full document

... d 3 (u) influences the total ϕ-electron energy. But this remained unstudied by the researchers for a long time, except for a few occasions [12, 15, 16] until the publication of an article by Furtula and Gutman in 2015 ... See full document

... Molecular graphs are a peculiar type of chemical graphs, which represent the consti- tution of ...molecular graphs considered in this paper are finite, connected, loopless, and without multiple ... See full document

... The previous research showed that the chemical characteristics of drugs and their molecular structures were closely related. The molecular structures have been studied by the topological indices for the last 40 years. ... See full document

... of graphs G and H is a graph such that V(G×H)=V(G)V(H), and any two vertices (a,b) and (u,v) are adjacent in G×H if and only if either a = u and b is adjacent with v, or b = v and a is adjacent with ... See full document

... expect that the sizes of its average degeneracy classes will be less than for the other indices. However, we observe this for graphs of sufficiently large order. For instance, this is valid for trees starting from ... See full document

... the smallest, the second largest, the second smallest, the third largest and the third smallest Wiener indies among all the unicycles ...unicyclic graphs of cycle length r with the ... See full document

... Wiener index of special ...Wiener index of gear fan graph, gear wheel graph and their r-corona ...wiener index and introduce the method of obtaining the order of the Wiener indices among all the ... See full document

... unicyclic graphs with the first, the second, the third and the fourth smallest Szeged indices are not bipartite for n  ...unicyclic graphs with the first a few smallest Szeged indices for n  ... See full document

... hyper-Zagreb index is defined as 𝐻𝑍(𝐺) = ∑ 𝑢𝑣∈𝐸(𝐺) [𝑑 𝐺 (𝑢) + 𝑑 𝐺 (𝑣)] 2 ...hyper-Zagreb index and other degree based topological indices like the Forgotten index, Zagreb and Banhatti indices ... See full document

... the forgotten topological index and the Narumi-Katayama index for the Cartesian product of F-sum of connected graphs was proposed by MI and ... See full document

... topological index was initially related to graphs of biological activity or chemical structures and reactivity and researches in this regard continue, for example see ...topological index of ... See full document

... µ K . Also , the polynomials φ G ( λ ) = det( λ Ι n − A ( G )) and µ G ( λ ) = det( λ Ι n − L ( G )) are called the characteristic and Laplacian polynomials of G , respectively . Moreover , the distance between vertices ... See full document

... of graphs under ...standard graphs, GutMP(G) and DMP(G) are studied which can be applied to derive quantitative structure- property or structure- activity relationships (QSPR / ... See full document

... The concept of geometricarithmetic indices (GA) was put forward in chemical graph theory very recently. In spite of this, several works have already appeared dealing with these indices. In this paper we present lower ... See full document

... Wiener index W(G) of a connected graph G is defined as the sum the distances between all unordered pairs of vertices of ...Wiener index is a graph invariant intensively studied both in mathematics and ... See full document

... Considering the fact that obtaining the exact and easy to compute formula for the Kirchhoff index is not always possible, it is useful to know approximating expressions, i.e. upper and lower bounds and ... See full document

... short. The readers can refer to [9] for standard graph theoretic concepts and terms used but undefined in this paper. In this paper, we determine the PI index for some special graphs. The organization of ... See full document

... topological index and its mathematical properties and chemical applications have been extensively ...Wiener index was introduced by the chemist Harold Wiener in 1947 for explaining the correlation between ... See full document

... In chemistry, a molecular graph represents the topology of a molecule, by considering how the atoms are connected. This can be modeled by a graph taking vertices as atoms and edges as covalent bonds. Topological indices ... See full document