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20062026
most citedOn Problems as Hard as CNFSAT

121 citations · 360 across the 111 of their papers we have counts for

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Showing 2009Show all

6 papers · 1 filter

cs.DS2009★ 1 cited

Faster Algorithms for Finding and Counting Subgraphs

Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman +2

In this paper we study a natural generalization of both {\sc -Path} and {\sc -Tree} problems, namely, the {\sc Subgraph Isomorphism} problem. In the {\sc Subgraph Isomorphism…

cs.DS2009

FPT Algorithms for Connected Feedback Vertex Set

Neeldhara Misra, Geevarghese Philip, Venkatesh Raman +2

We study the recently introduced Connected Feedback Vertex Set (CFVS) problem from the view-point of parameterized algorithms. CFVS is the connected variant of the classical Feedba…

cs.DS2009★ 5 cited

A Linear Vertex Kernel for Maximum Internal Spanning Tree

Fedor V. Fomin, Serge Gaspers, Saket Saurabh +1

We present a polynomial time algorithm that for any graph G and integer k >= 0, either finds a spanning tree with at least k internal vertices, or outputs a new graph G' on at most…

cs.DS2009★ 1 cited

Kernels for Feedback Arc Set In Tournaments

Stéphane Bessy, Fedor V. Fomin, Serge Gaspers +4

A tournament T=(V,A) is a directed graph in which there is exactly one arc between every pair of distinct vertices. Given a digraph on n vertices and an integer parameter k, the Fe…

cs.DM2009★ 19 cited

(Meta) Kernelization

Hans L. Bodlaender, Fedor V. Fomin, Daniel Lokshtanov +3

In a parameterized problem, every instance I comes with a positive integer k. The problem is said to admit a polynomial kernel if, in polynomial time, one can reduce the size of th…

cs.DS2009

Algorithm for Finding -Vertex Out-trees and its Application to -Internal Out-branching Problem

Nathann Cohen, Fedor V. Fomin, Gregory Gutin +3

An out-tree is an oriented tree with only one vertex of in-degree zero. A vertex of is internal if its out-degree is positive. We design randomized and deterministic al…