Nano-Zagreb Index and Multiplicative Nano-Zagreb Index of Some Graph Operations [PDF]
Let G be a graph with vertex set V(G) and edge set E(G). The Nano-Zagreb and multiplicative Nano-Zagreb indices of G are NZ(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)) and N*Z(G) = \prod_{uv \in E(G)} (d^2(u) - d^2(v)), respectively, where d(v) is the ...
Jahanbani, Akbar, Shooshtary, Hajar
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Are physician-patient communication practices slowly changing in Croatia? – a cross-sectional questionnaire study [PDF]
Aim To explore physician-patient communication practices during the process of obtaining informed consent in a hospital setting in Croatia. Methods Two hundred and fifty patients (response rate 78%) from five tertiary level hospitals in Zagreb ...
Borovečki, Ana +4 more
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First and Second Zagreb Eccentricity Indices of Thorny Graphs
The Zagreb eccentricity indices are the eccentricity reformulation of the Zagreb indices. Let H be a simple graph. The first Zagreb eccentricity index ( E 1 ( H ) ) is defined to be the summation of squares of the eccentricity of vertices,
Saba Mustafa +3 more
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The Topological Indices of Coprime Graph for Integer Module Group
This study delves into the fascinating realm of coprime graphs within the integer modulo group, revealing a fundamental property where these graphs manifest as star graphs when the order corresponds to a prime power.
Abdurahim Abdurahim +3 more
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Computing entire Zagreb indices of some dendrimer structures
Topological indices are numerical numbers associated to molecular graphs and are invariant of a graph. In QSAR/QSPR study, Zagreb indices are used to explain the different properties of chemical compounds at the molecular level mathematically.
Gao Wei +5 more
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On Some Properties of Fuzzy Topological Indices of Honeycomb Graph
The primary contribution of this paper is the characterization of a novel graph structure, the fuzzy honeycomb network, through the lens of fuzzy molecular descriptors.
Sana Shafqat, Naveed Yaqoob, Aliya Javed
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Entropies and Degree-Based Topological Indices of Generalized Sierpiński Graphs
Fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon ...
Si-Ao Xu, Jia-Dong Si, Jia-Bao Liu
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Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhen Wang +3 more
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Inverse problem for Zagreb indices
The inverse problem for integer-valued topological indices is about the existence of a graph having its index value equal to a given integer. We solve this problem for the first and second Zagreb indices, and present analogous results also for the ...
Lokesha, Veerebradiah, Gutman, Ivan
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Extremal values on Zagreb indices of trees with given distance k-domination number
Let G = ( V ( G ) , E ( G ) ) $G=(V(G),E(G))$ be a graph. A set D ⊆ V ( G ) $D\subseteq V(G)$ is a distance k-dominating set of G if for every vertex u ∈ V ( G ) ∖ D $u\in V(G)\setminus D$ , d G ( u , v ) ≤ k $d_{G}(u,v)\leq k$ for some vertex v ∈ D $v ...
Lidan Pei, Xiangfeng Pan
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