Diagonally convex directed polyominoes and even trees: a bijection and related issues (CROSBI ID 110045)
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Podaci o odgovornosti
Deutsch, E. ; Feretić, Svjetlan ; Noy M.
engleski
Diagonally convex directed polyominoes and even trees: a bijection and related issues
We present a simple bijection between diagonally convex directed (DCD) polyominoes with n diagonals and plane trees with 2n edges in which every vertex has even degree (even trees), which specializes to a bijection between parallelogram polyominoes and full binary trees. Next we consider a natural definition of symmetry for DCD-polyominoes, even trees, ternary trees, and non-crossing trees, and show that the number of symmetric objects of a given size is the same in all four cases.
ternary trees; non-crossing trees; diagonally convex directed polyominoes; even trees
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