大连理工大学学报
大連理工大學學報
대련리공대학학보
JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY
2014年
4期
469-476
,共8页
吕波%徐喜荣%杨元生%张科%郑百功
呂波%徐喜榮%楊元生%張科%鄭百功
려파%서희영%양원생%장과%정백공
交叉数%画法%Star图%(n,k)-Star图%Arrangement图
交扠數%畫法%Star圖%(n,k)-Star圖%Arrangement圖
교차수%화법%Star도%(n,k)-Star도%Arrangement도
crossing number%drawing%Star graph%(n,k)-Star graph%Arrangement graph
研究网络拓扑结构图星图S4的交叉数问题.首先构造星图S4好的画法,得到了S4交叉数的上界,然后给出了S4交叉数下界的数学证明,最终得到S4的交叉数的精确值为8.同时给出了与其具有同构关系的图S4,3和图A4,3的交叉数.
研究網絡拓撲結構圖星圖S4的交扠數問題.首先構造星圖S4好的畫法,得到瞭S4交扠數的上界,然後給齣瞭S4交扠數下界的數學證明,最終得到S4的交扠數的精確值為8.同時給齣瞭與其具有同構關繫的圖S4,3和圖A4,3的交扠數.
연구망락탁복결구도성도S4적교차수문제.수선구조성도S4호적화법,득도료S4교차수적상계,연후급출료S4교차수하계적수학증명,최종득도S4적교차수적정학치위8.동시급출료여기구유동구관계적도S4,3화도A4,3적교차수.
The problem of the crossing number about network topological structure graph S4 is studied.Firstly,by constructing a good drawing of Star graph S4 ,an upper bound of the crossing number of S4 is obtained.Then,the lower bound of the crossing number of S4 is obtained by mathematical proof.Lastly,the conclusion is drawn that the exact value of the crossing number of S4 is 8.Meanwhile,the crossing numbers of graph S4,3 and graph A4,3 ,which are isomorphic to S4 ,are given.