How to see the forest for the trees

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Bibliographic Details
Main Authors:	Bérczi-Kovács, Erika, Frank, András
Format:	Preprint
Published:	2025
Subjects:	Discrete Mathematics Combinatorics
Online Access:	Acceder al recurso
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author	Bérczi-Kovács, Erika Frank, András
author_facet	Bérczi-Kovács, Erika Frank, András
contents	One of the major starting points of discrete optimization is the theorem of Nash-Williams and Tutte on the existence of $k$ disjoint spanning trees of a graph along with its counterpart on the existence of $k$ forests covering all edges of the graph. These elegant results triggered a comprehensive research that gave rise to far-reaching generalizations and found applications at seemingly far-fetched areas. There are well over a thousand papers in the literature, including quite a few brand-new ones. Our first goal is to enlighten some aspects and links of these developments with the hope that the melody finds its way to non-experts. But we hope that experts will also find some novelties in our orchestration.
format	Preprint
id	arxiv_https___arxiv_org_abs_2510_23614
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	How to see the forest for the trees Bérczi-Kovács, Erika Frank, András Discrete Mathematics Combinatorics One of the major starting points of discrete optimization is the theorem of Nash-Williams and Tutte on the existence of $k$ disjoint spanning trees of a graph along with its counterpart on the existence of $k$ forests covering all edges of the graph. These elegant results triggered a comprehensive research that gave rise to far-reaching generalizations and found applications at seemingly far-fetched areas. There are well over a thousand papers in the literature, including quite a few brand-new ones. Our first goal is to enlighten some aspects and links of these developments with the hope that the melody finds its way to non-experts. But we hope that experts will also find some novelties in our orchestration.
title	How to see the forest for the trees
topic	Discrete Mathematics Combinatorics
url	https://arxiv.org/abs/2510.23614

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