Plane curves in an immersed graph in R2

Marisa Sakamoto*, Kouki Taniyama

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号1350003
ジャーナルJournal of Knot Theory and its Ramifications
22
2
DOI
出版ステータスPublished - 2013 2月

ASJC Scopus subject areas

  • 代数と数論

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