41 citations · 71 across the 9 of their papers we have counts for
9 papers
On the notion of Khovanov A-adequacy
Lizzie Buchanan, Huizheng Guo, Gabriel Montoya-Vega +2
The concept of adequate links, introduced by Lickorish and Thistlethwaite as a generalization of alternating links, has recently gained interest among knot theorists in the context…
Orienting Ordered Scaffolds: Complexity and Algorithms
Sergey Aganezov, Pavel Avdeyev, Nikita Alexeev +2
Despite the recent progress in genome sequencing and assembly, many of the currently available assembled genomes come in a draft form. Such draft genomes consist of a large number…
Linear Time Recognition Algorithms for Topological Invariants in 3D
Li Chen, Yongwu Rong
In this paper, we design linear time algorithms to recognize and determine topological invariants such as the genus and homology groups in 3D. These properties can be used to ident…
A categorification for the Tutte polynomial
Edna F Jasso-Hernandez, Yongwu Rong
For each graph, we construct a bigraded chain complex whose graded Euler characteristic is a version of the Tutte polynomial. This work is motivated by earlier work of Khovanov, He…
Knight move for chromatic graph cohomology
Michael Chmutov, Sergei Chmutov, Yongwu Rong
In this paper we prove the knight move theorem for the chromatic graph cohomologies with rational coefficients introduced by L. Helme-Guizon and Y. Rong. Namely, for a connected gr…
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…