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» General Partitioning on Random Graphs
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FOCS
2003
IEEE
15 years 7 months ago
On the Implementation of Huge Random Objects
We initiate a general study of pseudo-random implementations of huge random objects, and apply it to a few areas in which random objects occur naturally. For example, a random obj...
Oded Goldreich, Shafi Goldwasser, Asaf Nussboim
147
Voted
COMBINATORICA
2010
14 years 9 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
139
Voted
SODA
1998
ACM
144views Algorithms» more  SODA 1998»
15 years 3 months ago
Analysis of Random Processes via And-Or Tree Evaluation
We introduce a new set of probabilistic analysis tools based on the analysis of And-Or trees with random inputs. These tools provide a unifying, intuitive, and powerful framework ...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
15 years 2 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
149
Voted
ICALP
2009
Springer
16 years 2 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...