The 1-versus-2 queries problem, which has been extensively studied in computational complexity theory, asks in its generality whether every efficient algorithm that makes at most 2...
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Reductions and completeness notions form the heart of computational complexity theory. Recently non-uniform reductions have been naturally introduced in a variety of settings conc...
Harry Buhrman, Benjamin J. Hescott, Steven Homer, ...
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Since Grover’s seminal work, quantum search has been studied in great detail. In the usual search problem, we have a collection of n items x1, . . . , xn and we would like
atic presentation for a relational structure is, informally, an abstract representation of the elements of that structure by means of a regular language such that the relations ca...
Alan J. Cain, Graham P. Oliver, Nikola Ruskuc, Ric...
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
We initiate the first systematic study of the NP-hard Cluster Vertex Deletion (CVD) problem (unweighted and weighted) in terms of fixed-parameter algorithmics. In the unweighted...
In this work, we continue the study of the many facets of the Fully Mixed Nash Equilibrium Conjecture, henceforth abbreviated as the FMNE Conjecture, in selfish routing for the s...
Rainer Feldmann, Marios Mavronicolas, Andreas Pier...