41 citations · 56 across the 4 of their papers we have counts for
4 papers
Torsion in Graph Homology
Laure Helme-Guizon, Jozef H. Przytycki, Yongwu Rong
Khovanov homology for knots has generated a flurry of activity in the topology community. This paper studies the Khovanov type cohomology for graphs with a special attention to tor…
Graph Cohomologies from Arbitrary Algebras
Laure Helme-Guizon, Yongwu Rong
For each commutative, graded algebra with finite dimension in each degree, we construct a graded cohomology theory for graphs whose graded Euler characteristic is the chromatic pol…
The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants
Laure Helme-Guizon
The Vassiliev conjecture states that the Vassiliev invariants are dense in the space of all numerical link invariants in the sense that any link invariant is a pointwise limit of V…
A categorification for the chromatic polynomial
Laure Helme-Guizon, Yongwu Rong
For each graph we construct graded cohomology groups whose graded Euler characteristic is the chromatic polynomial of the graph. We show the cohomology groups satisfy a long exact…