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Computing First General Zagreb Index of Operations on Graphs
The numerical coding of the molecular structures on the bases of topological indices plays an important role in the subject of Cheminformatics which is a combination of Computer, Chemistry, and Information Science. In 1972, it was shown that the total $\
Jia-bao Liu +3 more
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Hyper Zagreb Index of Bridge and Chain Graphs
Let G be a simple connected molecular graph with vertex set $V(G)$ and edge set $E(G)$. One important modification of classical Zagreb index, called hyper Zagreb index $HM(G)$ is defined as the sum of squares of the degree sum of the adjacent vertices, that is, sum of the terms $[{d_G}(u)+{d_G}(v)]^2$ over all the edges of $G$, where ${d_G}(u)$ denote ...
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On hyper-Zagreb index and coindex
Bulletin t. 150 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 42.
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Topological indices have opened up doors for better studies in structural chemistry and biology. In this paper, we compute the Reduced first Zagreb index, Reduced second Zagreb index and hyper-Zagreb index of four new graph operations based on tensor product.
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On a Conjecture Concerning the Complementary Second Zagreb Index
The complementary second Zagreb index of a graph $G$ is defined as $cM_2(G)=\sum_{uv\in E(G)}|(d_u(G))^2-(d_v(G))^2|$, where $d_u(G)$ denotes the degree of a vertex $u$ in $G$ and $E(G)$ represents the edge set of $G$. Let $G^*$ be a graph having the maximum value of $cM_2$ among all connected graphs of order $n$. Furtula and Oz [MATCH Commun.
Saber, Hicham +4 more
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On the extremal graphs for Second Zagreb Index with fixed number of vertices and cyclomatic number
Akbar Ali, K. Das, S. Akhter
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Zagreb indices of hyper carbon nanotube graphs. [PDF]
Shabbir A +4 more
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Sharp bounds for the first Zagreb index and first Zagreb coindex [PDF]
Milovanovic, Emina, Milovanovic, Igor
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Modelling π-electron energy of benzenes via Zagreb psi indices. [PDF]
Yamaç K.
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