On the tangle compactification of infinite graphs

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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.
Original languageEnglish
Publication statusPublished - 27 Aug 2019

Bibliographical note

Master's thesis from 2017, 120 pages, many figures

Keywords

  • math.CO
  • math.GN
  • 05C63, 54D35

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