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» Randomly Coloring Constant Degree Graphs
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PROPERTYTESTING
2010
13 years 3 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
TCS
2008
13 years 5 months ago
Game chromatic index of graphs with given restrictions on degrees
Given a graph G and an integer k, two players alternatively color the edges of G using k colors so that adjacent edges get different colors. The game chromatic index g(G) is the m...
Andrew Beveridge, Tom Bohman, Alan M. Frieze, Oleg...
STOC
2004
ACM
110views Algorithms» more  STOC 2004»
14 years 5 months ago
On sums of independent random variables with unbounded variance, and estimating the average degree in a graph
We prove the following inequality: for every positive integer n and every collection X1, . . . , Xn of nonnegative independent random variables that each has expectation 1, the pr...
Uriel Feige
STOC
1994
ACM
125views Algorithms» more  STOC 1994»
13 years 9 months ago
A spectral technique for coloring random 3-colorable graphs (preliminary version)
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
Noga Alon, Nabil Kahale
PODC
2009
ACM
14 years 6 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