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Universität Augsburg
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Universität Augsburg
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Professor Dr. Kai Cieliebak
Universität Augsburg
spricht am
Montag, 13. April 2026
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16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| For a radius r, the r-covering number of a compact metric space is the smallest number of r-balls covering the space. The following (apparently new) conjecture generalizes Vizing's conjecture from graph theory: The r-covering number of a product, equipped with the maximum metric, is greater or equal to the product of the r-covering numbers. I will provide two pieces of evidence for this conjecture. First, it holds if one of the spaces is a metric graph. Second, its infinitesimal version for r-covering numbers of Finsler manifolds with very small r follows from known results about covering densities by convex sets. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).