Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Thursday, September 24, 2015, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Frank Mousset

Packing bounded-degree spanning graphs from minor-closed

A sequence G1,...,Gt of graphs is said to pack into a graph G if G contains G1,...,Gt as edge-disjoint subgraphs. I will talk about the following result. Let F be a non-trivial minor-closed family of graphs (for example, the family of planar graphs). Then for all positive constants x and D and for every sufficiently large integer n, every sequence G1,...,Gt of graphs in F such that
- v(Gi) ≤ n for all i,
- e(G1) + ... + e(Gt) ≤ (1-x) n(n-1)/2, and
- the maximum degree of each Gi is at most D,
packs into the complete graph on n vertices. This improves a very similar result of Messuti, Rödl, and Schacht in which the graphs are required to have at most (1-x)n vertices.

Joint work with Asaf Ferber and Choongbum Lee.

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