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In this paper it is shown that a complete graph with $n$ vertices has an optimal diagram, i.e., a diagram whose crossing number equals the value of Guy's formula, with a free maximal linear tree and without free hamiltonian cycles for any odd integer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::618a83747f863f183e885cfe74b2c11a
An axis of a link projection is a closed curve which lies symmetrically on each region of the link projection. In this paper we define axis systems of link projections and characterize axis systems of the standard projections of twist knots.
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16efd74c69e51f2c085f98cf307869fb
http://arxiv.org/abs/1612.03397
http://arxiv.org/abs/1612.03397
Autor:
Yoshiro Yaguchi
Publikováno v:
Journal of Knot Theory and Its Ramifications. 27:1850036
A cord is a simple curve on a punctured plane. We introduce diagrams which represent isotopy classes of cords. Using such diagrams, we prove that there is a one-to-one correspondence from the set of the isotopy classes of cords to a set of symmetric
Autor:
Yoshiro Yaguchi
Publikováno v:
Fundamenta Mathematicae. 210:63-71
Autor:
Yoshiro Yaguchi
Publikováno v:
Journal of Knot Theory and Its Ramifications. 18:1021-1030
The Hurwitz action of the n-braid group Bn on the n-fold direct product Bmn of the m-braid group Bm is studied. We show that the isotropy subgroup of the Hurwitz group action of B3 at the triple of the standard generators of B4 has index 16, by expli
Publikováno v:
Journal of Knot Theory and Its Ramifications. 26:1750073
We introduce an up–down coloring of a virtual-link (or classical-link) diagram. The colorabilities give a lower bound of the minimum number of Reidemeister moves of type II which are needed between two [Formula: see text]-component virtual-link (or
Autor:
AKIO KAWAUCHI1 kawauchi@sci.osaka-cu.ac.jp, AYAKA SHIMIZU2 shimizu@nat.gunma-ct.ac.jp, YOSHIRO YAGUCHI2 yaguchi-y@nat.gunma-ct.ac.jp
Publikováno v:
Kyungpook Mathematical Journal. 2019, Vol. 59 Issue 4, p797-820. 24p. 16 Diagrams, 1 Chart.