空间图有纽结的正则投射(英文)  

Knot-inevitable regular projections of planar graphs

作　　者：秦家虎[1] 王树忠[2] 

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080 [2]哈尔滨商业大学基础科学学院,哈尔滨150076

出　　处：《黑龙江大学自然科学学报》2007年第6期804-807,811,共5页Journal of Natural Science of Heilongjiang University

基　　金：the Youth Foundation of Heilongjiang University(QL200602)

摘　　要：Taniyam在文[5]中构造了一个平面图有Tn的正则投射,其中平面图是由正五边形所构造的。推广了Taniyam的结果,证明了由任意奇数边(≥5)正多边形所构造的平面图都会有一个有Tn的正则投射,另外,对于这些平面图,还构造了一种新的有Tn的正则投射。For any integer n, Taniyama and Tsukamoto described a Tn - inevitable regular projection of a planar graph in [ 5 ], where the planar graph is constructed by regular pentagons. The authors extend the conclusion and show that all of the planar graphs constructed by regular polygons with odd number （ ≥5 ） of edges also have Tn - inevitable regular projections. Moreover, a new Tn - inevitable projection of such planar graphs and some related results are also given. regular

关 键 词：正则投射 有纽结/链环的 有Tn的 

分 类 号：O189.3[理学—数学]