23 citations · 163 across the 32 of their papers we have counts for
41 papers
The Penrose-Kauffman Polynomial
Louis H. Kauffman, Daniel S. Silver, Susan G. Williams
For any cubic graph in a closed orientable surface and a perfect matching, the Penrose-Kauffman polynomial is a sum of chromatic polynomials of a collection of associated graphs. A…
Core groups
Daniel S. Silver, Lorenzo Traldi, Susan G. Williams
The core group of a classical link was introduced independently by A.J. Kelly in 1991 and M. Wada in 1992. It is a link invariant defined by a presentation involving the arcs and c…
Graph Complexity and Link Colorings
Daniel S. Silver, Susan G. Williams
The (torsion) complexity of a finite signed graph is defined to be the order of the torsion subgroup of the abelian group presented by its Laplacian matrix. When is -periodi…
Group Presentations for Links in Thickened Surfaces
Daniel S. Silver, Susan G. Williams
Using a combinatorial argument, we prove the well-known result that the Wirtinger and Dehn presentations of a link in 3-space describe isomorphic groups. The result is not true for…
Links in Surfaces and Laplacian Modules
Daniel S. Silver, Susan G. Williams
Laplacian matrices of weighted graphs in surfaces are used to define module and polynomial invariants of -homologically trivial links in . Information abou…
Knot Invariants from Laplacian Matrices
Daniel S. Silver, Susan G. Williams
A checkerboard graph of a special diagram of an oriented link is made a directed, edge-weighted graph in a natural way so that a principal minor of its Laplacian matrix is a Seifer…