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TALG
2011
98views more  TALG 2011»
12 years 11 months ago
Tree exploration with logarithmic memory
We consider the task of network exploration by a mobile agent (robot) with small memory. The agent has to traverse all nodes and edges of a network (represented as an undirected c...
Christoph Ambühl, Leszek Gasieniec, Andrzej P...
CORR
2011
Springer
136views Education» more  CORR 2011»
12 years 11 months ago
Degree Fluctuations and the Convergence Time of Consensus Algorithms
We consider a consensus algorithm in which every node in a time-varying undirected connected graph assigns equal weight to each of its neighbors. Under the assumption that the deg...
Alexander Olshevsky, John N. Tsitsiklis
TPDS
2010
109views more  TPDS 2010»
13 years 2 months ago
Minimal Sets of Turns for Breaking Cycles in Graphs Modeling Networks
Abstract—We propose an algorithm that provides for deadlockfree and livelock-free routing, in particular in wormhole routed networks. The proposed algorithm requires nearly minim...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa
AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
13 years 10 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