Rao Li

collaborators

3 papers

math.CO2024

The Largest and Smallest Eigenvalues of Matrices and Some Hamiltonian Properties of Graphs

Rao Li

Let $G = (V, E)$ be a graph. We define matrices $M (G; α, β)$ as $α D + β A$ , where $α$ , $β$ are real numbers such that $(α, β) \neq = (0, 0)$ and $D$ and $A$ are the diagonal matrix and…

math.CO2024

The First Zagreb Index, the Forgotten Topological Index, the Inverse Degree and Some Hamiltonian Properties of Graphs

Rao Li

Let $G = (V, E)$ be a graph. The first Zagreb index and the forgotten topological index of a graph $G$ are defined respectively as $\sum_{u \in V} d^{2} (u)$ and $\sum_{u \in V} d^3(u…

math.CO2024

The First Zagreb Index Conditions for Some Hamiltonian Properties of Graphs

Rao Li

Let $G = (V, E)$ be a graph. The first Zagreb index of a graph $G$ is defined as $\sum_{u \in V} d^{2} (u)$ , where $d (u)$ is the degree of vertex $u$ in $G$ . Using the Pólya-Szegő ine…