Sufficient Conditions for Perfect Mixed Tilings

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• Eoin Hurley, Heidelberg
• Thursday 10 February 2022, 16:00-17:00
• Poynting Large Lecture Theatre, additional zoom link: https://bham-ac-uk.zoom.us/j/88168768618.

If you have a question about this talk, please contact Eoin Long.

We develop a method to study sufficient conditions for perfect mixed tilings. Our framework allows the embedding of bounded degree graphs H with components of sublinear order. As a corollary, we recover and extend the work of Kühn and Osthus regarding sufficient minimum degree conditions for perfect F-tilings (for an arbitrary fixed graph F) by replacing the F-tiling with the aforementioned graphs H. Moreover, we obtain analogous results for degree sequences and in the setting of uniformly dense graphs. Finally, we asymptotically resolve a conjecture of Komlós in a strong sense.

This talk is part of the Combinatorics and Probability seminar series.

This talk is included in these lists:

• Combinatorics and Probability seminar
• Poynting Large Lecture Theatre, additional zoom link: https://bham-ac-uk.zoom.us/j/88168768618
• School of Mathematics events

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