PLANE CURVES IN AN IMMERSED GRAPH IN R2

被引：4

作者：

Sakamoto, Marisa ^{[1
]}

Taniyama, Kouki ^{[1
]}

机构：

[1] Waseda Univ, Grad Sch Educ, Dept Math, Shinjuku Ku, Tokyo 1698050, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2013年 / 22卷 / 02期

基金：

日本学术振兴会;

关键词：

Immersed graph; plane curve; knot; chord diagram; SPATIAL GRAPHS; INVARIANTS; KNOTS; LINKS;

D O I：

10.1142/S021821651350003X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any chord diagram on a circle there exists a complete graph on sufficiently many vertices such that any generic immersion of it to the plane contains a plane-closed curve whose chord diagram contains the given chord diagram as a sub-chord diagram. For any generic immersion of the complete graph on six vertices to the plane, the sum of averaged invariants of all Hamiltonian plane curves in it is congruent to one quarter modulo one-half.

引用

页数：10

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