BLANUA SNARK幂的亏格（英文）  

On Genus of Blanua Snark Powers

作　　者：申婷茹 刘文忠[1] 

机构地区：[1]南京航空航天大学数学系,江苏南京210016

出　　处：《昆明理工大学学报（自然科学版）》2014年第4期138-142,148,共6页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：Supported by Project funded by China Post-doctoral Science Foundation(No.2012M521068)

摘　　要：Petersen图和Blanua snark图为两个最小的snark图.Mohar和Vodopivec研究了Petersen幂的可定向亏格,并且证明:对于任意整数k(1≤k≤n),存在可定向亏格为k的Petersen幂Pn.由于点积具有灵活性,所以对于任意整数n(n≥1),Blanua snark幂Bn的集合与petersen幂P2n的集合并不相同.我们研究了Blanua snark幂Bn,并且证明:对于任意整数k(1≤k≤2n),存在可定向亏格为k的Blanua snark幂Bn.Two smallest snarks are the Petersen graph and the Blanua snark.Mohar and Vodopivec [J.Graph Theory 67（201 1 ）,1 -8]investigated the orientable genera of Petersen powers and proved that for each integer k （1≤k≤n）,there exists a Petersen power Pn with orientable genus k.Because of the flexibility of the dot product,the set of Blanua snark power Bn is different from that of the Petersen powers P2n for each integer n（n≥1 ）.We investigate various Blanua snark powers and prove that for every integer k（1≤k≤2n）,there exists a Blanua snark power Bn with orientable genus precisely k.

关 键 词：点积 Petersen幂 Blanusa snark幂 可定向曲面 亏格 

分 类 号：O157.5[理学—数学]