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arxiv: 1307.0161 · v1 · pith:5CCX44OFnew · submitted 2013-06-29 · 🧮 math.CO

On the imbalance lattice of path-length sequences of binary trees

classification 🧮 math.CO
keywords imbalancesequencesbinarylatticelowerpath-lengthtreesbounds
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The existence of greatest lower bounds in the imbalance order of path-length sequences of binary trees is seen to be a consequence of a joint monotonicity property of the greater and lower expension operations. Path length sequences that are join-irreducible in the imbalance lattice are characterized.

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