Add to ORKGThis paper proves that the fifteen 4-bridged examples in J. H. Conway's table of II-crossing knots [2] are each actually prime. Note that we avoid reliance upon assumptions that the prime knot tables/are complete or that the minimal crossing number is additive. Cf. [8] and [3]. Reproduced herewith are diagrams of the 552 known ll-crossing primes, of which we here consider knots ·12, 84
An n-crossing is a point in the projection of a knot where n strands cross so that each strand bisec...
Previous work used polygonal realizations of knots to reduce the problem of computing the superbridg...
This paper gives new upper bounds on the stick numbers of the knots $9_{18}$, $10_{18}$, $10_{58}$, ...
For any given number of crossings c, there exists a formula to determine the number of 2-bridge knot...
The structure of classical minimal prime knot presentations suggests that there are often, perhaps a...
A knot is a smooth embedding of the unit sphere S1 into R3．Two knots are said to be equivalent if th...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
There were many attempts to settle the question whether there exist non trivial knots with trivial J...
We enumerate and show tables of minimal diagrams for all prime knots up to the triple-crossing numbe...
In this paper we determine all strictly achiral prime links up to 11 crossings. There are exactly fo...
The “bridge index” of a knot is the least number of maximal overpasses taken over all diagrams of th...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
ABSTRACT. A quadruple crossing is a crossing in a projection of a knot or link that has four strands...
It is known that the first two-variable Links-Gould quantum link invariant LG = LG(2,1) is more powe...
We study methods for computing the bridge number of a knot from a knot diagram. We prove equivalence...
An n-crossing is a point in the projection of a knot where n strands cross so that each strand bisec...
Previous work used polygonal realizations of knots to reduce the problem of computing the superbridg...
This paper gives new upper bounds on the stick numbers of the knots $9_{18}$, $10_{18}$, $10_{58}$, ...
For any given number of crossings c, there exists a formula to determine the number of 2-bridge knot...
The structure of classical minimal prime knot presentations suggests that there are often, perhaps a...
A knot is a smooth embedding of the unit sphere S1 into R3．Two knots are said to be equivalent if th...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
There were many attempts to settle the question whether there exist non trivial knots with trivial J...
We enumerate and show tables of minimal diagrams for all prime knots up to the triple-crossing numbe...
In this paper we determine all strictly achiral prime links up to 11 crossings. There are exactly fo...
The “bridge index” of a knot is the least number of maximal overpasses taken over all diagrams of th...
The tabulation of all prime knots up to a given number of crossings was one of the founding problems...
ABSTRACT. A quadruple crossing is a crossing in a projection of a knot or link that has four strands...
It is known that the first two-variable Links-Gould quantum link invariant LG = LG(2,1) is more powe...
We study methods for computing the bridge number of a knot from a knot diagram. We prove equivalence...
An n-crossing is a point in the projection of a knot where n strands cross so that each strand bisec...
Previous work used polygonal realizations of knots to reduce the problem of computing the superbridg...
This paper gives new upper bounds on the stick numbers of the knots $9_{18}$, $10_{18}$, $10_{58}$, ...