Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Contiguous Pattern Avoidance in Binary Trees   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.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg