Journal of Knot Theory and Its Ramifications 28(12) 1950074-1950074 2019年10月 [査読有り]
Satoh and Taniguchi introduced the [Formula: see text]-writhe [Formula: see text] for each non-zero integer [Formula: see text], which is an invariant for virtual knots. The [Formula: see text]-writhes give the coefficients of some polynomial inva...
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 26(13) 2017年11月 [査読有り]
We consider a local move, denoted by., on knot diagrams or virtual knot diagrams. If two (virtual) knots K-1 and K-2 are transformed into each other by a finite sequence of lambda moves, the lambda distance between K-1 and K-2 is the minimum numbe...
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 23(4) 2014年4月 [査読有り]
A local move called a C-n-move is closely related to Vassiliev invariants. The C-n-distance between two knots K and L, denoted by d(Cn) (K, L), is the minimal number of C-n-moves needed to transform K into L. In the case of n >= 3, we show that...
Journal of Knot Theory and its Ramifications 11(3) 353-362 2002年
In this note, we will study Δ link homotopy (or self Δ-equivalence), which is an equivalence relation of ordered and oriented link types. Previously, a necessary condition is given in the terms of Conway polynomials for two link types to be Δ link...
-distances (共著)" target="_blank">Knots with given finite type invarinats and -distances (共著)
Journal of Knot Theory and its Ramifications 10(7) 1041-1046 2001年11月
Journal of Knot Theory and its Ramifications 10(7) 1041-1046 2001年11月
We show that for any given pair of a natural number n and a knot Κ, there are infinitely many knots Jm (m = 1, 2, . . .) such that their Vassiliev invariants of order less than or equal to n coincide with those of K and that each Jm has Ck-distanc...