A note on naturally embedded ternary trees.

Kuba, Markus

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Constructing Binary Huffman Tree

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Tree compression pushdown automaton

Jan Janoušek, Bořivoj Melichar, Martin Poliak (2012)

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A new kind of a deterministic pushdown automaton, called a Tree Compression Automaton, is presented. The tree compression automaton represents a complete compressed index of a set of trees for subtrees and accepts all subtrees of given trees. The algorithm for constructing our pushdown automaton is incremental. For a single tree with $n$ nodes, the automaton has at most $n + 1$ states, its transition function cardinality is at most $4 n$ and there are $2 n + 1$ pushdown store symbols. If hashing is used...

Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm

Gerritzen, L. (2004)

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2000 Mathematics Subject Classification: 17A50, 05C05. In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).