Results 1 to 10 of about 758 (116)

Bounds for the augmented Zagreb index

Theory and Applications of Graphs, 2023
The augmented Zagreb index (\rm{AZI} for short) of a graph $G$, introduced by Furtula et al. in 2010, is defined as ${\rm AZI}(G)=\sum\limits_{v_iv_j\in E(G)}{\left(\frac{d(v_i)d(v_j)}{d(v_i)+d(v_j)-2}\right)}^3$, where $E(G)$ is the edge set of $G$, and
Ren qingcuo, Li Wen, Suonan Renqian, Yang Chenxu   +3 more
doaj   +3 more sources

A note on the augmented Zagreb index of cacti with fixed number of vertices and cycles [PDF]

Kuwait Journal of Science, 2016
Recent studies show that augmented Zagreb index (AZI) possess the best correlating ability among the various well known topological indices for predicting the certain physicochemical properties ofparticular types of molecules.
Akbar Ali, Akhlaq A. Bhatti
doaj   +3 more sources

Data-driven analysis of chemical graph of carbazole and diketopyrrolopyrrole [PDF]

Scientific Reports
Topological indices play a key role in molecular graph theory, consisting of mathematical tools that allocate numerical values to molecular structures.
Zeeshan Saleem Mufti, Azhar Ahmed Khan, Muhammad Asim, A. S. Shflot, Syed Tauseef Saeed, Feyisa Edosa Morga   +5 more
doaj   +2 more sources

Some Bounds of Weighted Entropies with Augmented Zagreb Index Edge Weights [PDF]

Discrete Dynamics in Nature and Society, 2020
The graph entropy was proposed by Körner in the year 1973 when he was studying the problem of coding in information theory. The foundation of graph entropy is in information theory, but it was demonstrated to be firmly identified with some established ...
Yujie Huang, Hafiz Mutee-ur-Rehman, Saima Nazeer, Deeba Afzal, Xiaoli Qiang   +4 more
doaj   +2 more sources

树状六角系统的增强型萨格勒布指数(The augmented Zagreb index of the catacondensed hexagonal systems)

Zhejiang Daxue xuebao. Lixue ban, 2016
The augmented Zagreb index (AZI) of a graph G= (V,E) was recently introduced by FURTULA et al, which is defined as ，where du denotes the degree of a vertex u in G.
LIUJianping(刘剑萍), WUXianzhang(吴先章), CHENJinsong(陈锦松)   +2 more
doaj   +2 more sources

Maximal Augmented Zagreb Index of Trees With at Most Three Branching Vertices

IEEE Access, 2019
The Augmented Zagreb index of a graph $G$ is defined to be $\mathcal {AZI}\left ({G}\right) =\sum _{uv\in E\left ({G}\right) } \left ({\frac { d\left ({u}\right) d\left ({v}\right) }{d\left ({u}\right) +d\left ({v}\right) -2} }\right) ^{3}$ , where ...
Roberto Cruz, Juan Daniel Monsalve, Juan Rada   +2 more
doaj   +2 more sources

On chemical trees with minimum augmented Zagreb index [PDF]

Contributions to Mathematics, 2023
Wei Gao
doaj   +2 more sources

On the Trees With Maximal Augmented Zagreb Index

IEEE Access, 2018
The augmented Zagreb index (AZI), a variant of the well-known atom-bond connectivity (ABC) index, was shown to have the best predicting ability for a variety of physicochemical properties among several tested vertex-degree-based topological indices ...
Wenshui Lin, Akbar Ali, Linshan Huang, Zhixi Wu, Jianfeng Chen   +4 more
doaj   +2 more sources

On the augmented Zagreb index

Kuwait Journal of Science, 2016
Topological indices play an important role in Mathematical Chemistry, especially in thequantitative structure-property relationship (QSPR) and quantitative structure-activityrelationship (QSAR) studies.
Akbar Ali, Zahid Raza, Akhlaq Ahmad Bhatti   +2 more
doaj   +1 more source

Exploring topological indices and entropy measure via rational curve fitting models for calcium hydroxide network [PDF]

Scientific Reports
This work uses rational curve fitting models to investigate the complex link between topological indices and entropy metrics in calcium hydroxide $$(Ca(OH)_{2})$$ ( C a ( O H ) 2 ) networks.
Rongbing Huang, Muhammad Farhan Hanif, Muhammad Kamran Siddiqui, Muhammad Faisal Hanif, Mazhar Hussain, Fikre Bogale Petros   +5 more
doaj   +2 more sources