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5 papers · 2 filters
What is known about Vertex Cover Kernelization?
Michael R. Fellows, Lars Jaffke, Aliz Izabella Király +2
We are pleased to dedicate this survey on kernelization of the Vertex Cover problem, to Professor Juraj Hromkovič on the occasion of his 60th birthday. The Vertex Cover problem is…
A Complexity Dichotomy for Critical Values of the b-Chromatic Number of Graphs
Lars Jaffke, Paloma T. Lima
A -coloring of a graph is a proper coloring of its vertices such that each color class contains a vertex that has at least one neighbor in all the other color classes. The b…
A 2-Approximation Algorithm for Feedback Vertex Set in Tournaments
Daniel Lokshtanov, Pranabendu Misra, Joydeep Mukherjee +3
A {\em tournament} is a directed graph such that every pair of vertices is connected by an arc. A {\em feedback vertex set} is a set of vertices in such that is…
On the Parameterized Complexity of Graph Modification to First-Order Logic Properties
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thilikos
We consider the problems of deciding whether an input graph can be modified by removing/adding at most k vertices/edges such that the result of the modification satisfies some prop…
Evaluating and Tuning n-fold Integer Programming
Kateřina Altmanová, Dušan Knop, Martin Koutecký
In recent years, algorithmic breakthroughs in stringology, computational social choice, scheduling, etc., were achieved by applying the theory of so-called -fold integer program…