CN EN

理学院2018-2019学年夏季第六周学术报告(3)


学 术 报 告


报告题目: Note on a vertex irregular total k-labeling of honeycombo network


报告学者:  Hye Kyung Kim 教授


报告者单位Daegu Catholic University, South Korea


报告时间2019年8月11日下午16:20-17:00


报告地点学生活动中心10层1005


摘要: For a simple graph G with a vertex set V and an edge set E. A labeling $f:V\cup E\maps \{1,2,\cdots,k\}$ is called a vertex irregular total k-labeling of G if for any two different vertices x and y in V we have wt(x)\not=wt(y)$, where $wt(x)=f(x)+\Product_{u\in N(x)}f(ux)$.

The smallest positive integer k such that G has a vertex irregular total k-labeling is called the total vertex irregularity strength of G, denoted by tvs(G). In this paper, we determined that the total vertex irregularity strength of honeycombo network is tvs(HC(n))=\floor \frac{6n^2+2}{4}\floor$ for any positive integer $n$.


主办教师:冯衍全

欢迎广大同学老师积极踊跃参加!