نتایج جستجو برای: the gutman index

تعداد نتایج: 16093936  

‎Let G=(V(G),E(G)) be a simple connected graph with vertex set V(G) and edge‎ ‎set E(G)‎. ‎The (first) edge-hyper Wiener index of the graph G is defined as‎: ‎$$WW_{e}(G)=sum_{{f,g}subseteq E(G)}(d_{e}(f,g|G)+d_{e}^{2}(f,g|G))=frac{1}{2}sum_{fin E(G)}(d_{e}(f|G)+d^{2}_{e}(f|G)),$$‎ ‎where de(f,g|G) denotes the distance between the edges f=xy and g=uv in E(G) and de(f|G)=∑g€(G)de(f,g|G). ‎In thi...

Journal: :Match 2022

Introduced by Gutman in 2021, the Sombor index is a novel graph-theoretic topological descriptor possessing potential applications modeling of thermodynamic properties compounds. Let H k n be family graphs on order and number cutvertices having at least one cycle. In this paper, we present minimum indices n. The corresponding extremal have been characterized as well.

Journal: :Annals of the rheumatic diseases 1957
M A OGRYZLO J HARRISON

Experience gained during the past 7 years with the prolonged administration of probenecid (Pascale, Dubin, and Hoffman, 1952; Talbott, 1953; Gutman and Yu, 1955; Bartels, 1955; Bauer and Singh, 1957) or of salicylates (Marson, 1953, 1954, 1955) has shown that continuous therapy with a uricosuric agent in effective doses, is the only practical method at present available for preventing the compl...

2012
Kexiang Xu Kinkar Ch. Das

For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as M1(G) = ∑ v∈V (G) dG(v) 2 where dG(v) is the degree of vertex v in G. The alternative expression for M1(G) is ∑ uv∈E(G)(dG(u)+dG(v)). Very recently, Eliasi, Iranmanesh and Gutman [7] introduced a new graphical invariant ∏∗ 1(G) = ∏ uv∈E(G)(dG(u) + dG(v)) as the multiplicative version of ...

Journal: :Mathématiques et sciences humaines 2005

Journal: :Discrete mathematics letters 2021

Let $d_G(v)$ be the degree of vertex $v$ in a graph $G$. The Sombor index $G$ is defined as $SO(G) =\sum_{uv\in E(G)}\sqrt{d^2_G(u)+d^2_G(v)}$, which new degree-based topological introduced by Gutman. $\mathscr{T}_{n,\Delta}$ and $\mathscr{U}_{n,\Delta}$ set trees unicyclic graphs with $n$ vertices maximum $\Delta$, respectively. In this paper, tree minimum among are characterized.

Journal: :Discrete Applied Mathematics 2012
Jirí Fink Borut Luzar Riste Skrekovski

The sum of distances between all pairs of vertices W (G) in a connected graph G as a graph invariant was first introduced by Wiener [9] in 1947. He observed a correlation between boiling points of paraffins and this invariant, which has later become known as Wiener index of a graph. Today, the Wiener index is one of the most widely used descriptors in chemical graph theory. Due to its strong co...

2013
Wenshui Lin Xin Lin Tianyi Gao Xinyou Wu

The atom-bond connectivity (ABC) index of a graph ( , ) G V E is defined as ( ) [ ( ) ( ) 2] / [ ( ) ( )] uv E ABC G d u d v d u d v , where ( ) d u denotes the degree of vertex u of G . This recently introduced molecular structure descriptor found interesting applications in the study of the thermodynamic stability of acyclic saturated hydrocarbons, and the strain energy of their cyclic congen...

2006
Ernesto Estrada Adelio R. Matamala

A new extension of the generalized topological indices (GTI) approach is carried out to represent “simple” and “composite” topological indices (TIs) in an unified way. This approach defines a GTI-space from which both simple and composite TIs represent particular subspaces. Accordingly, simple TIs such as Wiener, Balaban, Zagreb, Harary and Randić connectivity indices are expressed by means of ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه فردوسی مشهد - دانشکده علوم 1376

saluk mount is selected for devonian biostratigraphy. this area located at southwest of bojnurd. in this study three sections are selected and two sections, chahar-borj and tabar sections with a thickness of 650 m, which consist mainly of calcareous sediments was studied in detailed but third section, qelli section, with a thickness of about 450m which consist mainly of sandstone and evaporates...

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