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» General Partitioning on Random Graphs
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87
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FOCS
2003
IEEE
15 years 5 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
COMBINATORICA
2010
14 years 7 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...
119
Voted
SODA
1998
ACM
144views Algorithms» more  SODA 1998»
15 years 1 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 13 days 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
ICALP
2009
Springer
16 years 20 days 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...