Kexiang Xu

activity

20162022

most citedComparison of Wiener index and Zagreb eccentricity indices

10 citations · 12 across the 6 of their papers we have counts for

collaborators

10 papers

math.CO2022

New transmission irregular chemical graphs

Kexiang Xu, Jing Tian, Sandi Klavžar

The transmission of a vertex $v$ of a (chemical) graph $G$ is the sum of distances from $v$ to other vertices in $G$ . If any two vertices of $G$ have different transmissions, then…

math.CO2022

On the general position numbers of maximal outerplanar graphs

Jing Tian, Kexiang Xu, Daikun Chao

A subset $R \subseteq V (G)$ of a graph $G$ is a general position set if any triple set $R_{0}$ of $R$ is non-geodesic in $G$ , that is, no vertex of $R_{0}$ lies on any geodesic between…

math.CO2020

The domination game played on diameter 2 graphs

Csilla Bujtás, Vesna Iršič, Sandi Klavžar +1

Let $γ_{g} (G)$ be the game domination number of a graph $G$ . It is proved that if $diam (G) = 2$ , then $γ_g(G) \le \left\lceil \frac{n(G)}{2} \right\rceil- \left\lfloor \frac{n(…

math.CO2020★ 1 cited

On Rall's $1/2$ -conjecture on the domination game

Csilla Bujtás, Vesna Iršič, Sandi Klavžar +1

The $1/2$ -conjecture on the domination game asserts that if $G$ is a traceable graph, then the game domination number $γ_{g} (G)$ of $G$ is at most $\left\lceil \frac{n(G)}{2} \right\…

math.CO2020★ 1 cited

Constructing new families of transmission irregular graphs

Kexiang Xu, Sandi Klavžar

The transmission of a vertex $v$ of a graph $G$ is the sum of distances from $v$ to all the other vertices in $G$ . A graph is transmission irregular if all of its vertices have pai…

math.CO2019★ 10 cited

Comparison of Wiener index and Zagreb eccentricity indices

Kexiang Xu, Kinkar Chandra Das, Sandi Klavžar +1

The first and the second Zagreb eccentricity index of a graph $G$ are defined as $E_{1} (G) = \sum_{v \in V (G)} ε_{G} (v)^{2}$ and $E_2(G)=\sum_{uv\in E(G)}\varepsilon_{G}(u)\var…