Hanlin Chen

activity

20142023

most citedDimer-monomer Model on the Towers of Hanoi Graphs

11 citations · 14 across the 5 of their papers we have counts for

collaborators

5 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.CO2021★ 2 cited

On the first three minimum Mostar indices of tree-like phenylenes

Hechao Liu, Lihua You, Hanlin Chen +1

Let $G = (V_{G}, E_{G})$ be a simple connected graph with its vertex set $V_{G}$ and edge set $E_{G}$ . The Mostar index $M o (G)$ was defined as $Mo(G)=\sum\limits_{e=uv\in E(G)}|n_{u…

math.CO2017★ 1 cited

Bounds on some monotonic topological indices of bipartite graphs with a given number of cut edges

Hanlin Chen, Renfang Wu, Hanyuan Deng

Let $I (G)$ be a topological index of a graph. If $I (G + e) < I (G)$ (or $I (G + e) > I (G)$ , respectively) for each edge $e \neq \in G$ , then $I (G)$ is monotonically decreasing (or increasing,…

math-ph2014★ 11 cited

Dimer-monomer Model on the Towers of Hanoi Graphs

Hanlin Chen, Renfang Wu, Guihua Huang +1

The number of dimer-monomers (matchings) of a graph $G$ is an important graph parameter in statistical physics. Following recent research, we study the asymptotic behavior of the n…

math.CO2014

Tutte polynomial of a fractal scale-free lattice

Hanlin Chen, Yuanhua Liao, Hanyuan Deng

The Tutte polynomial of a graph, or equivalently the $q$ -state Potts model partition function, is a two-variable polynomial graph invariant of considerable importance in both combi…