Dergiler / MATI / 2020 / Cilt: 2 - Sayı: 2
The Zagreb Indices and Some Hamiltonian Properties of Graphs
- Dergi
- MATI
- Sayfa
- 7–11
- DOI
- —
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.