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| Summer Term 2026, Doctoral School Events | |
| 2026-06-19 | Doctoral Day (09:00—, TU Graz, HS XII, Rechbauerstr. 12) |
| Anna Hofer (TU. Advisor: B. Vogtenhuber): Small Empty Cycles in Simple Drawings of Kn | |
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Abstract: Given a simple drawing of a graph, a sub-drawing of a plane cycle of length k induces two connected regions of the plane. If one of the two regions does not contain any of the remaining vertices of the drawing, we call the cycle an empty plane k-cycle. We examine simple drawings of the complete graph Kn with respect to the existence of empty plane k-cycles for small k. We show that every vertex in a simple drawing of Kn is incident to an empty plane k-cycle with k=5 or k=6.[hide abstract] | |
| Matthias Müller (TU. Advisor: C. Ceballos): The ν-Core Label Order and Noncrossing Partitions [show abstract] | |
| Nesibe Ayhan (Uni. Advisor: B.Q. Tang): Global Well‑Posedness and Propagation Speeds for the Generalized Camassa–Holm Equation [show abstract] | |
| (10:30—11:00 Coffee Break) | |
| Manuel Hasenbichler (TU. Advisor: S. Thonhauser): The Martingale Sinkhorn Algorithm [show abstract] | |
| Nicolas Weber (TU. Advisor: J. Behrndt, P. Siegl): Operator families in a weak coupling setting [show abstract] | |
| (12:00—12:30 Lunch Break) | |
| Guan-Huei Duh (TU. Advisor: P. Sprüssel, S. Wagner): Enumeration of Bipartite Acyclic Digraphs [show abstract] | |
| Mathieu Christen (TU. Advisor: O. Steinbach): Space-time Methods for inverse problem resolution with applications in acoustic source reconstruction [show abstract] | |
| (13:30—14:00 Coffee Break) | |
| Maryna Manskova (TU. Advisor: C. Aistleitner, P. Grabner): Number variance of random points on the unit torus [show abstract] | |
| Francesco Mantegazza (Uni. Advisor: F. Caforio): Fast and Accurate Reconstruction of 3D Cardiac Displacement Fields from Sparse MRI-like Data via PBDW [show abstract] | |
| (15:00 Closure) |