176 citations · 1.3k across the 156 of their papers we have counts for
8 papers · 1 filter
A Polynomial Invariant for Flat Virtual Links
Louis H. Kauffman, R. Bruce Richter
This paper gives a polynomial invariant for flat virtual links. In the case of one component, the polynomial specializes to Turaev's virtual string polynomial. We show that Turaev'…
On the minimum number of colors for knots
Louis H. Kauffman, Pedro Lopes
In this article we take up the calculation of the minimum number of colors needed to produce a non-trivial coloring of a knot. This is a knot invariant and we use the torus knots o…
Virtual Braids and the L--Move
Louis H. Kauffman, Sofia Lambropoulou
In this paper we prove a Markov Theorem for virtual braids and for some analogs of this structure. The virtual braid group is the natural companion in the category of virtual knots…
Lune -- Free Knot Graphs
Shalom Eliahou, Frank Harary, Louis H. Kauffman
This paper is an exploration of simple four-regular graphs in the plane (i.e. loopless and with no more than one edge between any two nodes). Such graphs are fundamental to the the…
Knot theory and a physical state of quantum gravity
Tomas Liko, Louis H. Kauffman
We discuss the theory of knots, and describe how knot invariants arise naturally in gravitational physics. The focus of this review is to delineate the relationship between knot th…
Non-Commutative Worlds -- A Summary
Louis H. Kauffman
This paper summarizes the contents of the paper "Non-Commutative Worlds" by the author (published in New Journal of Physics Vol. 6, November 2004, pp. 2 - 46; quant-ph/0403012) and…