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CPC
2007
125views more  CPC 2007»
15 years 5 months ago
Adversarial Deletion in a Scale-Free Random Graph Process
We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and is “attacked by an adversary”. At time t, we add a new vertex xt a...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
ICALP
2011
Springer
14 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
15 years 10 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...
STACS
2004
Springer
15 years 10 months ago
Matching Algorithms Are Fast in Sparse Random Graphs
We present an improved average case analysis of the maximum cardinality matching problem. We show that in a bipartite or general random graph on n vertices, with high probability ...
Holger Bast, Kurt Mehlhorn, Guido Schäfer, Hi...
125
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RSA
2008
80views more  RSA 2008»
15 years 4 months ago
A spectral technique for random satisfiable 3CNF formulas
Let I be a random 3CNF formula generated by choosing a truth assignment for variables x1, . . . , xn uniformly at random and including every clause with i literals set true by w...
Abraham Flaxman