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» Reconstruction for Models on Random Graphs
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IM
2007
13 years 8 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang
CAAN
2007
Springer
14 years 2 months 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....
CMSB
2006
Springer
14 years 6 days ago
Randomization and Feedback Properties of Directed Graphs Inspired by Gene Networks
Having in mind the large-scale analysis of gene regulatory networks, we review a graph decimation algorithm, called "leaf-removal", which can be used to evaluate the feed...
M. Cosentino Lagomarsino, P. Jona, B. Bassetti
IJCAI
2001
13 years 9 months ago
Search on High Degree Graphs
We show that nodes of high degree tend to occur infrequently in random graphs but frequently in a wide variety of graphs associated with real world search problems. We then study ...
Toby Walsh
ICALP
2007
Springer
14 years 2 months ago
On the Chromatic Number of Random Graphs
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Amin Coja-Oghlan, Konstantinos Panagiotou, Angelik...