H. Deng

activity

20032022

most citedDimer-monomer Model on the Towers of Hanoi Graphs

11 citations · 16 across the 14 of their papers we have counts for

collaborators

15 papers

math.CO2022

Molecular trees with extremal values of the second Sombor index

Zikai Tang, Hanyuan Deng

A new geometric background of graph invariants was introduced by Gutman, of which the simplest is the second Sombor index $S O_{2}$ , defined as $SO_2=SO_2(G)=\sum_{uv\in E}\frac{|d^2_…

math.GM2022

Maximum zeroth-order general Randić index of orientations of cacti

Jiaxiang Yang, Hanyuan Deng, Zikai Tang +1

The zeroth-order general Randić index $R_{a + 1}^{0}$ of an $n$ -vertices oriented graph $D$ is equal to the sum of $(d_{u_{i}}^{+})^{a} + (d_{u_{j}}^{-})^{a}$ over all arcs $u_{i} u_{j}$ of $D$ …

math.CO2021

Maximum zeroth-order general Randić index of orientations of trees, unicyclic and bicyclic graphs with given matching number

Jiaxiang Yang, Hanyuan Deng

The zeroth-order general Randić index $R_{a}^{0}$ of a digraph $D$ is the sum of $(d_{v}^{+})^{a} + (d_{w}^{-})^{a}$ over all arcs $v w$ of $D$ , where $a$ , $d_{v}^{+}$ and $d_{w}^{-}$ …

math.CO2021

Maximum first Zagreb index of orientations of unicyclic graphs with given matching number

Jiaxiang Yang, Hanyuan Deng

Let $D = (V, A)$ be a digraphs without isolated vertices. The first Zagreb index of a digraph $D$ defined as a summation over all arcs, $M_1(D)=\frac{1}{2}\sum\limits_{uv\in A}(d^{+}_…

math.CO2021★ 1 cited

On the vertex-degree based invariants of digraphs

Hanyuan Deng, Jiaxiang Yang, Zikai Tang +2

Let $D = (V, A)$ be a digraphs without isolated vertices. A vertex-degree based invariant $I (D)$ related to a real function $φ$ of $D$ is defined as a summation over all arcs, $I(D) =…

math.CO2020★ 1 cited

The maximal tree with respect to the exponential of the second Zagreb index

Mingyao Zeng, Hanyuan Deng

The second Zagreb index is $M_{2} (G) = \sum_{uv \in E (G)} d_{G} (u) d_{G} (v)$ . It was found to occur in certain approximate expressions of the total $π$ -electron energy of alternant hydroc…