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• W2621261490 abstract "In geometric constraint solving, 2D well constrained geometric problems can be abstracted as Laman graphs. If the graph is tree decomposable, the constraint-based geometric problem can be solved by a Decomposition–Recombination planner based solver. In general decomposition and recombination steps can be completed only when steps on which they are dependent have already been completed. This fact naturally defines a hierarchy in the decomposition–recombination steps that traditional tree decomposition representations do not capture explicitly. In this work we introduce h-graphs, a new representation for decompositions of tree decomposable Laman graphs, which captures dependence relations between different tree decomposition steps. We show how h-graphs help in efficiently computing parameter ranges for which solution instances to well constrained, tree decomposable geometric constraint problems with one degree of freedom can actually be constructed." @default.
• W2621261490 created "2017-06-09" @default.
• W2621261490 creator A5000732422 @default.
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• W2621261490 date "2015-10-01" @default.
• W2621261490 modified "2023-09-24" @default.
• W2621261490 title "h-graphs: A new representation for tree decompositions of graphs" @default.
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• W2621261490 doi "https://doi.org/10.1016/j.cad.2015.05.003" @default.
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