منابع مشابه
On the second order first zagreb index
Inspired by the chemical applications of higher-order connectivity index (or Randic index), we consider here the higher-order first Zagreb index of a molecular graph. In this paper, we study the linear regression analysis of the second order first Zagreb index with the entropy and acentric factor of an octane isomers. The linear model, based on the second order first Zag...
متن کاملordering of trees by multiplicative second zagreb index
for a graph $g$ with edge set $e(g)$, the multiplicative second zagreb index of $g$ is defined as $pi_2(g)=pi_{uvin e(g)}[d_g(u)d_g(v)]$, where $d_g(v)$ is the degree of vertex $v$ in $g$. in this paper, we identify the eighth class of trees, with the first through eighth smallest multiplicative second zagreb indeces among all trees of order $ngeq 14$.
متن کاملOn trees and the multiplicative sum Zagreb index
For a graph $G$ with edge set $E(G)$, the multiplicative sum Zagreb index of $G$ is defined as$Pi^*(G)=Pi_{uvin E(G)}[d_G(u)+d_G(v)]$, where $d_G(v)$ is the degree of vertex $v$ in $G$.In this paper, we first introduce some graph transformations that decreasethis index. In application, we identify the fourteen class of trees, with the first through fourteenth smallest multiplicative sum Zagreb ...
متن کاملAn Upper Bound on the First Zagreb Index in Trees
In this paper we give sharp upper bounds on the Zagreb indices and characterize all trees achieving equality in these bounds. Also, we give lower bound on first Zagreb coindex of trees.
متن کاملThe Hyper-Zagreb Index of Trees and Unicyclic Graphs
Topological indices are widely used as mathematical tools to analyze different types of graphs emerged in a broad range of applications. The Hyper-Zagreb index (HM) is an important tool because it integrates the first two Zagreb indices. In this paper, we characterize the trees and unicyclic graphs with the first four and first eight greatest HM-value, respectively.
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ژورنال
عنوان ژورنال: Kragujevac Journal of Mathematics
سال: 2018
ISSN: 1450-9628,2406-3045
DOI: 10.5937/kgjmath1803325e