Enumerating Trees

Details Enumerating Trees Enumerating Trees

2012-01-09

arxiv.org/abs/1201.1851v1

Mathematics

Number Theory

15 pages, 1 figure

Scientific paper

In this note we discuss trees similar to the Calkin-Wilf tree, a binary tree
that enumerates all positive rational numbers in a simple way. The original
construction of Calkin and Wilf is reformulated in a more algebraic language,
and an elementary application of methods from analytic number theory gives
restrictions on possible analogues.

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