我所初识的高等图论(Ⅰ):在亏格为0曲面上  

Advanced Graph Theory as I Have Intially Realized(Ⅰ) : On Genus-0 Surfaces

作　　者：刘彦佩[1] 

机构地区：[1]北京交通大学数学研究所

出　　处：《昆明理工大学学报（自然科学版）》2016年第3期142-146,共5页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(11371052;11201024)

摘　　要：关于图的平面性,Euler,Whitney,Mac Lane,Lefschetz连同Kuratowski,Tutte,吴文俊等各自独到的结果形成球面上不朽的乐章.这里总结时至今日本文作者近乎完美的发展.The theories on the planarity of a graph by Euler,Whitney,Mac Lane,Lefschetz as well as Kuratowski,Tutte and Wu Wenjun have made their significant contributions to surface theory. The developments by the author in this field are summarized in this paper.

关 键 词：多面形 平面性 代数对偶 双圈覆盖 次形 同伦闭曲线定理 演生网 同调 上同调 

分 类 号：O157[理学—数学]