Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

We consider composite links obtained by bandings of another link. It is shown that if a
banding of a split link yields a composite knot then there is a decomposing sphere crossing …

A well-known conjecture in knot theory says that the proportion of hyperbolic knots among
all of the prime knots of or fewer crossings approaches as approaches infinity. In this article …

We consider knots and links obtained by summing a rational tangle and a prime tangle. For
a given prime tangle, we show that there are at most three rational tangles that will induce a …

The twisted torus knots lie on the standard genus 2 Heegaard surface for S3, as do the
primitive/primitive and primitive/Seifert knots. It is known that primitive/primitive knots are …

Boring is an operation that converts a knot or two-component link L α in a 3–manifold M into
another knot or two-component link L β. It generalizes many classical operations in knot …

Berge introduced knots that are primitive/primitive with respect to the standard genus 2
Heegaard surface, F, for the 3-sphere; surgery on such knots at the surface slope yields a …

In many branches of mathematics, one encounters the question of how to reconstruct a
convex set from information on its vertices. This idea successfully emerged as the Krein …

Let k be a link in S $\sp3 $, and ba band, that is, an embedding of I $\times $ I in S $\sp3 $
such that I $\times $ I intersects k in a pair of arcs; construct a new link by changing that pair …

In [S1] a complicated combinatorial argument showed that the band sum of knots is
unknotted if and only if the band sum is a connected sum of unknots. This argument has …