A REFINEMENT FOR ORDERED LABELED TREES
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Abstract
Let O_n be the set of ordered labeled trees on {0, . . . , n}. A maximal decreasing subtree of an ordered labeled tree is defined by the maximal ordered subtree from the root with all edges being decreasing. In this paper, we study a new refinement O_{n,k} of O_n, which is the set of ordered labeled trees whose maximal decreasing subtree has k + 1 vertices.
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