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» The metamathematics of random graphs
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CPC
2006
110views more  CPC 2006»
15 years 1 months ago
Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
Abstract. Bootstrap percolation on an arbitrary graph has a random initial configuration, where each vertex is occupied with probability p, independently of each other, and a deter...
József Balogh, Yuval Peres, Gábor Pe...
PODC
2009
ACM
16 years 2 months ago
Coloring unstructured wireless multi-hop networks
We present a randomized coloring algorithm for the unstructured radio network model, a model comprising autonomous nodes, asynchronous wake-up, no collision detection and an unkno...
Johannes Schneider, Roger Wattenhofer
APPROX
2009
Springer
126views Algorithms» more  APPROX 2009»
15 years 8 months ago
Improved Inapproximability Results for Maximum k-Colorable Subgraph
We study the maximization version of the fundamental graph coloring problem. Here the goal is to color the vertices of a k-colorable graph with k colors so that a maximum fraction ...
Venkatesan Guruswami, Ali Kemal Sinop
103
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WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
15 years 7 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...
WEA
2005
Springer
98views Algorithms» more  WEA 2005»
15 years 7 months ago
Implementing Minimum Cycle Basis Algorithms
Abstract. In this paper we consider the problem of computing a minimum cycle basis of an undirected graph G = (V, E) with n vertices and m edges. We describe an efficient implement...
Kurt Mehlhorn, Dimitrios Michail