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A relationship between trees and Kelly-Mac Lane graphs

Eugenia Cheng
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Abstract

We give a precise description of combed trees in terms of Kelly-Mac Lane graphs. We show that any combed tree is uniquely expressed as an allowable Kelly-Mac Lane graph of a certain shape. Conversely, we show that any such Kelly-Mac Lane graph uniquely defines a combed tree.

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Eugenia Cheng. 2003-04-21. A relationship between trees and Kelly-Mac Lane graphs. https://arxiv.org/abs/math/0304287

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