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Enumerating Ordered Trees Lexicographically

Enumerating ordered trees lexicographically
Authors: M. C. Er;

Enumerating Ordered Trees Lexicographically

Abstract

Summary: A 1-1 mapping between the set of extended ordered trees with n internal nodes and the set of feasible binary bit-patterns with 2n bits is established. By manipulating the feasible bit-patterns, the set of ordered trees with n nodes can be enumerated lexicographically. The ranking and unranking functions are also described. It has been shown that the bit-pattern representation of ordered trees leads to simple construction and easy understanding of the enumerating, ranking and unranking algorithms.

Related Organizations
Keywords

binary bit-patterns, Graph theory (including graph drawing) in computer science, Trees, extended ordered trees

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    12
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
bronze