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DAM
2011
14 years 10 months ago
Matchability and k-maximal matchings
We present a collection of new structural, algorithmic, and complexity results for two types of matching problems. The first problem involves the computation of k-maximal matchin...
Brian C. Dean, Sandra Mitchell Hedetniemi, Stephen...
AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
15 years 8 months ago
Complexity of Minimal Tree Routing and Coloring
Let G be a undirected connected graph. Given a set of g groups each being a subset of V (G), tree routing and coloring is to produce g trees in G and assign a color to each of them...
Xujin Chen, Xiao-Dong Hu, Xiaohua Jia
IM
2007
15 years 2 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
WG
2010
Springer
15 years 25 days ago
From Path Graphs to Directed Path Graphs
We present a linear time algorithm to greedily orient the edges of a path graph model to obtain a directed path graph model (when possible). Moreover we extend this algorithm to fi...
Steven Chaplick, Marisa Gutierrez, Benjamin L&eacu...
IJCAI
2007
15 years 4 months ago
MB-DPOP: A New Memory-Bounded Algorithm for Distributed Optimization
In distributed combinatorial optimization problems, dynamic programming algorithms like DPOP ([Petcu and Faltings, 2005]) require only a linear number of messages, thus generating...
Adrian Petcu, Boi Faltings