Hechao Liu

most citedSharp bounds on the symmetric division deg index of graphs and line graphs

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GM2023

Note on VDB Topological Indices of k-Cyclic Graphs

Hechao Liu, Zenan Du, Yufei Huang +2

Let $G$ be a connected graph with $n$ vertices and $m$ edges. The vertex-degree-based topological index (VDB) (or graphical function-index) $T I (G)$ of $G$ with edge-weight function…

math.CO2022

Proof of an open problem on the Sombor index

Hechao Liu

The Sombor index is one of the geometry-based descriptors, which was defined as $S O (G) = uv \in E (G) \sum d^{2} (u) + d^{2} (v),$ where $d (u)$ (resp. $d (v)$ ) denotes the degree…

math.CO2022

The spread of generalized reciprocal distance matrix

Hechao Liu, Yufei Huang

The generalized reciprocal distance matrix $R D_{α} (G)$ was defined as $R D_{α} (G) = α R T (G) + (1 - α) R D (G), 0 \leq α \leq 1.$ Let $λ_{1}(RD_α(G))\geq λ_{2}(RD_α(G))\geq \cdots \geq λ_{n}(RD…

math.CO2022★ 1 cited

Sharp bounds on the symmetric division deg index of graphs and line graphs

Hechao Liu, Yufei Huang

For a graph $G$ with vertex set $V_{G}$ and edge set $E_{G}$ , the symmetric division deg index is defined as $SDD(G)=\sum\limits_{uv\in E_{G}}(\frac{d_{u}}{d_{v}}+\frac{d_{v}}{d_{u…