Counting alternating knots by genus

被引：19
|
作者：
Stoimenow, A
Vdovina, A
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
[2] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
来源：
MATHEMATISCHE ANNALEN | 2005年 / 333卷 / 01期
关键词：
Trivalent Graph;
D O I：
10.1007/s00208-005-0659-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the number of alternating knots of given genus g > 1 grows as a polynomial of degree 6g - 4 in the crossing number. The leading coefficient of the polynomial, which depends on the parity of the crossing number, is related to planar trivalent graphs with a Bieulerian path. The rate of growth of the number of such graphs is estimated.
引用
收藏
页码：1 / 27
页数：27
相关论文
共 50 条
12345