논문KCI 등재
Knots and Links in linear embeddings of $K_6$
1
조회
0
다운로드
2
인용
0
참고문헌
주제분류수학
초록
Abstract
We investigate the number of knots and links in linear embeddingsof K_6, the complete graph with 6 vertices. Concretely, we showthat any linear embedding of K_6 contains either only one Hopflink, or three Hopf links and one trefoil knot.
참고문헌 (6)
- "Sticknumbers and composition of knots and links", 6(2), pp.149~161 (1997)
- "Knots and links in spatial graphs", pp.445~ (1983)
- "Topology, second edition" (2000), Prentice Hall,Inc. , NJ
- "Ramsey theorems for knots", pp.527~ (1991)
- "'inez Alfons' in, Spatial graphs and orientedmatroids: the trefoil", 22(1), pp.149~158 (1999)
- "An elementary invariant of knots", k(t theoryramifications 3), pp.279~ (1994)
관련 논문AI추천
New classes of graphs with strongly almost trivial embeddingsRyo Hanaki대한수학회 · 대한수학회논문집2024 · 제39권 제4호On certain classes of links and $3$-manifolds김수환, 김양곡대한수학회 · 대한수학회논문집2005 · 제20권 제4호Twist of Knots and the Q-polynomialsChan-young Park, Myeong-ju Jeong, Younhee Choi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호THE BASKET NUMBERS OF LINKS OF 6 CROSSINGS OR LESS김건우, 김동석, 박성한, 배철민, 손동범, 이민우영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호On infinite classes of genus two 1-bridge knots김수환, Yangkok Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Finite Type Invariants and Virtual TwistMoves of Virtual KnotsMyeong-Ju Jeong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호
이 간행물의 다른 논문 (16건)
Group determinant formulas and class numbers of cyclotomic fields안재현, 정환엽pp. 499-509Persistence of Periodic Trajectories of Planar Systems under two Parametric PerturbationsOmid RabieiMotlagh, Zahra Afsharnejadpp. 511-523Asymptotic normality of estimator in non-parametric model under censored samplesQian-Ru Li, Si-Li Niupp. 525-539Endpoint estimates for multilinear integral operatorsLiu Lanzhepp. 541-564A refinement of the classical Clifford inequalityHristo Ilievpp. 565-583