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» The cover time of sparse random graphs
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SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 4 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
FOCS
2009
IEEE
15 years 8 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
WEA
2004
Springer
110views Algorithms» more  WEA 2004»
15 years 6 months ago
A Dynamic Algorithm for Topologically Sorting Directed Acyclic Graphs
Abstract. We consider how to maintain the topological order of a directed acyclic graph (DAG) in the presence of edge insertions and deletions. We present a new algorithm and, alth...
David J. Pearce, Paul H. J. Kelly
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
15 years 7 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
CIAC
2010
Springer
251views Algorithms» more  CIAC 2010»
15 years 11 months ago
A parameterized algorithm for Chordal Sandwich
Given an arbitrary graph G = (V, E) and an additional set of admissible edges F, the Chordal Sandwich problem asks whether there exists a chordal graph (V, E F ) such that F F. ...
Pinar Heggernes, Federico Mancini, Jesper Nederlof...