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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 9 days 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 4 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 3 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 3 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 7 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...