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- W2210186979 abstract "Bäckström studied the parameterised complexity of planning when the domain-transition graphs (DTGs) are acyclic. He used the parameters d (domain size), k (number of paths in the DTGs) and w (treewidth of the causal graph), and showed that planning is fixed-parameter tractable (fpt) in these parameters, and fpt in only parameter k if the causal graph is a polytree. We continue this work by considering some additional cases of non-acyclic DTGs. In particular, we consider the case where each strongly connected component (SCC) in a DTG must be a simple cycle, and we show that planning is fpt for this case if the causal graph is a polytree. This is done by first preprocessing the instance to construct an equivalent abstraction and then apply Bäckströms technique to this abstraction. We use the parameters d and k, reinterpreting this as the number of paths in the condensation of a DTG, and the two new parameters c (the number of contracted cycles along a path) and pmax (an upper bound for walking around cycles, when not unbounded)." @default.
- W2210186979 created "2016-06-24" @default.
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- W2210186979 date "2015-03-04" @default.
- W2210186979 modified "2023-09-27" @default.
- W2210186979 title "Some Fixed Parameter Tractability Results for Planning with Non-Acyclic Domain-Transition Graphs" @default.
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- W2210186979 doi "https://doi.org/10.1609/aaai.v29i1.9648" @default.
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