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arXiv:1101.2357 [math.CO]AbstractReferencesReviewsResources

Minimal Connectivity

Matthias Kriesell

Published 2011-01-12Version 1

A k-connected graph such that deleting any edge / deleting any vertex / contracting any edge results in a graph which is not k-connected is called minimally / critically / contraction-critically k-connected. These three classes play a prominent role in graph connectivity theory, and we give a brief introduction with a light emphasis on reduction- and construction theorems for classes of k-connected graphs.

Comments: IMADA-preprint-math, 33 pages
Categories: math.CO
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