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    Rights statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s00493-021-4445-5

    Accepted author manuscript, 386 KB, PDF document

    Embargo ends: 15/11/22

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

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Convergence and limits of finite trees

Research output: Contribution to journalJournal articlepeer-review

E-pub ahead of print
<mark>Journal publication date</mark>15/11/2021
<mark>Journal</mark>Combinatorica
Number of pages27
Publication StatusE-pub ahead of print
Early online date15/11/21
<mark>Original language</mark>English

Abstract

Motivated by the work of Lovász and Szegedy on the convergence and limits of dense graph sequences, we investigate the convergence and limits of finite trees with respect to sampling in normalized distance. Based on separable real trees, we introduce the notion of a dendron and show that the limits of finite trees are exactly the dendrons. We also prove that the limit dendron is unique.

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The final publication is available at Springer via http://dx.doi.org/10.1007/s00493-021-4445-5