Unknotting numbers and crossing numbers of spatial embeddings of a planar graph

Yuta Akimoto, Kouki Taniyama*

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

It is known that the unknotting number u(L) of a link L is less than or equal to half the crossing number c(L) of L. We show that there are a planar graph G and its spatial embedding f such that the unknotting number u(f) of f is greater than half the crossing number c(f) of f. We study relations between unknotting number and crossing number of spatial embedding of a planar graph in general.

本文言語English
論文番号2050095
ジャーナルJournal of Knot Theory and its Ramifications
29
14
DOI
出版ステータスPublished - 2020 12月

ASJC Scopus subject areas

  • 代数と数論

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