Efficient algorithms for combinatorial problems on graphs with bounded, decomposability—a survey
BIT - Ellis Horwood series in artificial intelligence
Linear time algorithms for NP-hard problems restricted to partial k-trees
Discrete Applied Mathematics
Easy problems for tree-decomposable graphs
Journal of Algorithms
All structured programs have small tree width and good register allocation
Information and Computation
Fiber Network Service Survivability
Fiber Network Service Survivability
Linear algorithms on k-terminal graphs
Linear algorithms on k-terminal graphs
Recursively constructed graph families: membership and linear algorithms
Recursively constructed graph families: membership and linear algorithms
Treewidth: characterizations, applications, and computations
WG'06 Proceedings of the 32nd international conference on Graph-Theoretic Concepts in Computer Science
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This paper deals with the root choice strategy for a tree decomposition when multiple agents(processors) are deployed. Tree decomposition is one of the most important decompositions in graph theory. It not only plays a role in theoretical investigations but also has widely practical applications [4]. The first step of solving problem using tree decomposition is to choose a root. And the root choice affects the time complexity when parallel processing is employed. We propose an algorithm to determine the root which makes the latest completion time minimum. In addition, remarks and future works are given.