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Variable first and second Zagreb indices are defined by λ M1(G )= � vi∈V d 2λ i and λ M2(G )= � vivj ∈E d λ · d λ , where di is the degree of the vertex vi and λ is any real number. In this note, we… (More)

- Batmend Horoldagva, Sang-Gu Lee
- Discrete Applied Mathematics
- 2010

It was conjectured that for each simple graph G=(V,E) with n=|V(G)| vertices and m=|E(G)| edges, it holds M"2(G)/m>=M"1(G)/n, where M"1 and M"2 are the first and second Zagreb indices. Hansen and… (More)

For a (molecular) graph, the first Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees… (More)

Let G = (V,E) be a graph, du the degree of its vertex u , and uv the edge connecting the vertices u and v . The atom–bond connectivity index and the sum–connectivity index of G are defined as ABC = ∑… (More)

Therst Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent… (More)

The first and second Zagreb indices of a graph $G$ are defined as $M_1(G)=\sum_{v\in V} d_G(v)^2$ and $M_2(G)=\sum_{uv\in E(G)}d_G(u)\,d_G(v)\,,$ where $d_G(v)$ is the degree of the vertex $v$. … (More)

- Batmend Horoldagva, Kinkar Chandra Das, Tsend-Ayush Selenge
- Discrete Optimization
- 2019

Abstract Let G = ( V , E ) be a graph with vertex set V and edge set E . The v e -degree of a vertex v ∈ V equals the number of edges v e -dominated by v and the e v -degree of an edge e ∈ E equals… (More)

- Batmend Horoldagva, Kinkar Chandra Das, Tsend-Ayush Selenge
- Discrete Applied Mathematics
- 2016

The classical first and second Zagreb indices of a graph G are defined as M 1 ( G ) = ź v ź V d G ( v ) 2 and M 2 ( G ) = ź u v ź E ( G ) d G ( u ) d G ( v ) , where d G ( v ) is the degree of the… (More)

Recently, Furtula et al. [B. Furtula, I. Gutman, S. Ediz, On difference of Zagreb indices, Discrete Appl. Math., 2014] introduced a new vertex-degree-based graph invariant "reduced second Zagreb… (More)