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Comptes Rendus Mathematique
Article . 2021 . Peer-reviewed
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Article . 2021
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Article . 2020
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On the exponential generating function of labelled trees

On the exponential generating function of labelled trees
Authors: Bostan, Alin; Jiménez-Pastor, Antonio;

On the exponential generating function of labelled trees

Abstract

We show that the generating function of labelled trees is not D ∞ -finite.

Country
France
Keywords

Exact enumeration problems, generating functions, differential equations, Nonlinear ordinary differential equations and systems, Differential algebra, Trees, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Graph labelling (graceful graphs, bandwidth, etc.), labelled rooted trees, Combinatorics, DD-finite series, generating functions, QA1-939, Mathematics

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    5
    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.
    Top 10%
    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!
5
Top 10%
Average
Average
Green
gold