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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Using first and second Zagreb indexes of graphs, we in this note present sufficient conditions for some Hamiltonian properties of graphs.
📌 3 Key Takeaways
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Objective & Hypothesis:Let $G = (V, E)$ be a graph.
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Key Findings & Data:The first Zagreb index and second Zagreb index of $G$ are defined as $\sum_{v \in V}d^2(v)$ and $\sum_{uv \in E}d(u)d(v)$, respectively.
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Conclusion & Impact:Using first and second Zagreb indexes of graphs, we in this note present sufficient conditions for some Hamiltonian properties of graphs.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:The first Zagreb index · The second Zagreb index · The first Zagreb index
Abstract
Let $G = (V, E)$ be a graph. The first Zagreb index and second Zagreb index of $G$ are defined as $\sum_{v \in V}d^2(v)$ and $\sum_{uv \in E}d(u)d(v)$, respectively. Using first and second Zagreb indexes of graphs, we in this note present sufficient conditions for some Hamiltonian properties of graphs. Let $G = (V, E)$ be a graph. The first Zagreb index and second Zagreb index of $G$ are defined as $\sum_{v \in V}d^2(v)$ and $\sum_{uv \in E}d(u)d(v)$, respectively. Using first and second Zagreb indexes of graphs, we in this note present sufficient conditions for some Hamiltonian properties of graphs.
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Cite This Article
Li, R. (2020). The Zagreb Indices and Some Hamiltonian Properties of Graphs. MATI, Cilt: 2 Sayı: 2, 7–11. https://ajindex.com/articles/1596347