Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, December 16, 2025, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Kalina Petrova (ISTA)

Packing subdivisions into regular graphs

We show that, for any graph F and eta>0, there exists a d_0=d_0(F,eta) such that every n-vertex d-regular graph with d >= d_0 has a collection of vertex-disjoint F-subdivisions covering at least (1-eta)n vertices. This verifies a conjecture of Verstraete from 2002 and improves a recent result of Letzter, Methuku and Sudakov which additionally required d to be at least polylogarithmic in n. This is joint work with Richard Montgomery, Arjun Ranganathan, and Jane Tan.

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