10.9k citations
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7 papers · 2 filters
On the Optimality of Pseudo-polynomial Algorithms for Integer Programming
Fedor V. Fomin, Fahad Panolan, M. S. Ramanujan +1
In the classic Integer Programming (IP) problem, the objective is to decide whether, for a given matrix and an -vector , there is a non-nega…
Bidimensionality and Kernels
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh +1
Bidimensionality Theory was introduced by [E.D. Demaine, F.V. Fomin, M.Hajiaghayi, and D.M. Thilikos. Subexponential parameterized algorithms on graphs of bounded genus and H-minor…
Subexponential parameterized algorithms for planar and apex-minor-free graphs via low treewidth pattern covering
Fedor V. Fomin, Daniel Lokshtanov, Dániel Marx +3
We prove the following theorem. Given a planar graph and an integer , it is possible in polynomial time to randomly sample a subset of vertices of with the following…
Lossy Kernelization
Daniel Lokshtanov, Fahad Panolan, M. S. Ramanujan +1
In this paper we propose a new framework for analyzing the performance of preprocessing algorithms. Our framework builds on the notion of kernelization from parameterized complexit…
Vertex Cover Structural Parameterization Revisited
Fedor V. Fomin, Torstein J. F. Strømme
A pseudoforest is a graph whose connected components have at most one cycle. Let X be a pseudoforest modulator of graph G, i. e. a vertex subset of G such that G-X is a pseudofores…
Tight Lower Bounds on Graph Embedding Problems
Marek Cygan, Fedor V. Fomin, Alexander Golovnev +4
We prove that unless the Exponential Time Hypothesis (ETH) fails, deciding if there is a homomorphism from graph to graph cannot be done in time . We al…
Metric Dimension of Bounded Tree-length Graphs
Rémy Belmonte, Fedor V. Fomin, Petr A. Golovach +1
The notion of resolving sets in a graph was introduced by Slater (1975) and Harary and Melter (1976) as a way of uniquely identifying every vertex in a graph. A set of vertices in…