4 papers · 1 filter
On the Impact of Stability and the Helly Property on the Dominating Set Problem
Che Cheng, Daniel Mock, Peter Rossmanith
We extend the algorithmic framework of progressive exploration [FabiaÅski et al., STACS 2019], which yields simple, yet surprisingly general and efficient parameterized algorithms…
Testing H-freeness on sparse graphs, the case of bounded expansion
Samuel Humeau, Mamadou Moustapha Kanté, Daniel Mock +2
In property testing, a tester makes queries to (an oracle for) a graph and, on a graph having or being far from having a property P, it decides with high probability whether the gr…
Solving Partial Dominating Set and Related Problems Using Twin-Width
Jakub Balabán, Daniel Mock, Peter Rossmanith
Partial vertex cover and partial dominating set are two well-investigated optimization problems. While they are -hard on general graphs, they have been shown to be fixed-…
Online Unbounded Knapsack
Hans-Joachim Böckenhauer, Matthias Gehnen, Juraj HromkoviÄ +6
We analyze the competitive ratio and the advice complexity of the online unbounded knapsack problem. An instance is given as a sequence of n items with a size and a value each, and…