3 papers
math.CO2026
Counting equitable -colorings in graphs of bounded clique-width
Holger Dell, Thore Husfeldt, Amir Nikabadi
For a graph , a proper -coloring of is \emph{equitable} if the sizes of any two color classes differ by at most one. The \textsc{Equitable -Coloring} problem asks, for…
cs.DS2024
Fast Deterministic Chromatic Number under the Asymptotic Rank Conjecture
Andreas Björklund, Radu Curticapean, Thore Husfeldt +2
In this paper we further explore the recently discovered connection by Björklund and Kaski [STOC 2024] and Pratt [STOC 2024] between the asymptotic rank conjecture of Strassen [Pr…
cs.DS2024
Finding longer cycles via shortest colourful cycle
Andreas Björklund, Thore Husfeldt
We consider the parameterised -Long Cycle problem, in which you are given an -vertex undirected graph , a specified edge in , and a positive integer , and are…