On the tangle compactification of infinite graphs
Combinatorics
2019-08-28 v1 General Topology
Abstract
In finite graphs, finite-order tangles offer an abstract description of highly connected substructures. In infinite graphs, infinite-order tangles compactify the graphs in the same way the ends compactify connected locally finite graphs. Thus, the arising tangle compactification extends the well-known Freudenthal compactification from connected locally finite graphs to arbitrary infinite graphs. This Master's thesis investigates the tangle compactifcation.
Cite
@article{arxiv.1908.10212,
title = {On the tangle compactification of infinite graphs},
author = {Jan Kurkofka},
journal= {arXiv preprint arXiv:1908.10212},
year = {2019}
}
Comments
Master's thesis from 2017, 120 pages, many figures