21 citations · 26 across the 6 of their papers we have counts for
6 papers
The Integer Sequence Transform where is the Number of Real Roots of the Polynomial
W. Edwin Clark, Mark Shattuck
We discuss the integer sequence transform where is the number of real roots of the polynomial . It is shown that several…
Longitudinal Mapping Knot Invariant for SU(2)
W. Edwin Clark, Masahico Saito
The knot coloring polynomial defined by Eisermann for a finite pointed group is generalized to an infinite pointed group as the longitudinal mapping invariant of a knot. In turn th…
Quandle Identities and Homology
W. Edwin Clark, Masahico Saito
Quandle homology was defined from rack homology as the quotient by a subcomplex corresponding to the idempotency, for invariance under the type I Reidemeister move. Similar subcomp…
Galkin Quandles, Pointed Abelian Groups, and Sequence
W. Edwin Clark, Xiang-dong Hou
For each pointed abelian group , there is an associated {\em Galkin quandle} which is an algebraic structure defined on that can be used to const…
Connected Quandles Associated with Pointed Abelian Groups
W. Edwin Clark, Mohamed Elhamdadi, Xiang-dong Hou +2
A quandle is a self-distributive algebraic structure that appears in quasi-group and knot theories. For each abelian group A and c \in A we define a quandle G(A, c) on \Z_3 \times…
The Affinity of a Permutation of a Finite Vector Space
W. Edwin Clark, Xiang-dong Hou, Alec Mihailovs
For a permutation f of an n-dimensional vector space V over a finite field of order q we let k-affinity(f) denote the number of k-flats X of V such that f(X) is also a k-flat. By k…