在闭曲面上生成最小度为4的三角剖分图  

Generating Triangulations on Closed Surfaces with Minimum Degree at Least 4

作　　者：艾山江.吾素音 阿力木江.艾则孜 

机构地区：[1]新疆师范大学数学科学院,新疆乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2010年第2期56-58,共3页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：证明在面(除了球面)上的最小度至少为4的任意三角剖分图是对不可约的三角剖分图做两种局部的形变(4-分割和八面体加法)而得到的,球面上的任意三角剖分图对八面体做上述两种形变得到的。We shall show that every triangulation on a closed surface, except the sphere, with minimum degree at least 4 can be obtained from an irreducible triangulation by two kinds of local deformations, called 4--splitting and addition of an octahedron and that every triangulation on the sphere can be obtained from the octahedron by them.

关 键 词：三角剖分图 4-分割序列 八面体加法 

分 类 号：O157.5[理学—数学]