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» Randomness, lowness and degrees
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CAAN
2007
Springer
16 years 6 days ago
Cleaning Random d-Regular Graphs with Brushes Using a Degree-Greedy Algorithm
In the recently introduced model for cleaning a graph with brushes, we use a degree-greedy algorithm to clean a random d-regular graph on n vertices (with dn even). We then use a d...
Margaret-Ellen Messinger, Pawel Pralat, Richard J....
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
15 years 8 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
16 years 3 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
APAL
2010
85views more  APAL 2010»
15 years 6 months ago
Elementary differences between the degrees of unsolvability and degrees of compressibility
Given two infinite binary sequences A, B we say that B can compress at least as well as A if the prefix-free Kolmogorov complexity relative to B of any binary string is at most as ...
George Barmpalias
WCE
2007
15 years 7 months ago
Dynamic Behaviour and Significance of Neuron Networks with Varying Degrees of Random Coupling
—Networks of coupled dynamical systems exhibit many interesting behaviours such as spatio-temporal chaos, pattern formation and synchronization. Such networks can be used to mode...
Bijilash Babu, Marissa Condon