H. Deng

activity

20122022

most citedOn a Conjecture of Randić Index and Graph Radius

2 citations · 3 across the 5 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.CO2021

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…

math.CO2017

On the connective eccentricity index of two types of trees

Zikai Tang, Lingyao Jiang, Hanyuan Deng

The connective eccentricity index $ξ^{ce} = \sum_{u \in V} \frac{d ( u )}{ε ( u )}$ , where $ε (u)$ and $d (u)$ denote the eccentricity and the degree of the vertex $u$ ,…

math.CO2012★ 2 cited

On a Conjecture of Randić Index and Graph Radius

Hanyuan Deng, Zikai Tang, Jie Zhang

The Randić index $R (G)$ of a graph $G$ is defined as the sum of $(d_{i} d_{j})^{- 1/2}$ over all edges $v_{i} v_{j}$ of $G$ , where $d_{i}$ is the degree of the vertex $v_{i}$ in $G$ . The radius…

math.CO2012

On the Main Signless Laplacian Eigenvalues of a Graph

Hanyuan Deng, He Huang

A signless Laplacian eigenvalue of a graph $G$ is called a main signless Laplacian eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this paper,…