Summary

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Infinite Graphs

What are the typical graphs which are infinitely edge-connected? Given a containment relation ≤, such as the (topological-)minor- or the weak\strong-immersion-relation, these are the ≤-minimal infinitely edge-connected graphs (up to ≤-equivalence). But which ones are they? Click here for a summary of my results.

connectivity

When do k prescribed edges of a graph lie on a common cyclic structure? Click here for a summary of my results.