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- W2951678044 abstract "In this paper we consider the enumeration of binary trees avoiding non-contiguous binary tree patterns. We begin by computing closed formulas for the number of trees avoiding a single binary tree pattern with 4 or fewer leaves and compare these results to analogous work for contiguous tree patterns. Next, we give an explicit generating function that counts binary trees avoiding a single non-contiguous tree pattern according to number of leaves. In addition, we enumerate binary trees that simultaneously avoid more than one tree pattern. Finally, we explore connections between pattern-avoiding trees and pattern-avoiding permutations." @default.
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- W2951678044 date "2012-03-05" @default.
- W2951678044 modified "2023-09-27" @default.
- W2951678044 title "Non-Contiguous Pattern Avoidance in Binary Trees" @default.
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