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The contour tree of a real-valued function on a vector space is apolytreethat describes the level sets of the function.
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The reachability relationship among the nodes of apolytreeforms a partial order that has order dimension at most three.
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Apolytreeis an orientation of an undirected tree.
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Apolytreeis an example of oriented graph.
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Everypolytreeis a multitree, a directed acyclic graph in which the subgraph reachable from any node forms a tree.
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