Sufficient conditions for perfect mixed tilings
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 perfec...
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
January 2025
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| In: |
Journal of combinatorial theory
Year: 2025, Jahrgang: 170, Pages: 128-188 |
| DOI: | 10.1016/j.jctb.2024.08.007 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jctb.2024.08.007 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S009589562400073X |
| Verfasserangaben: | Eoin Hurley, Felix Joos, Richard Lang |
MARC
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| 520 | |a 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. | ||
| 650 | 4 | |a Minimum degree conditions | |
| 650 | 4 | |a Perfect tiling | |
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