On multicolor Turán numbers

The -blow-up of a given graph is obtained by replacing each edge by a clique of order where the new vertices of the cliques are distinct. Liu and Yuan determined the extremal graphs for the 3-blow-ups of a triangle and the -blow-ups of any complete graph with order at most , respectively. We determ...

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Hauptverfasser: Balogh, József‏ (VerfasserIn) , Liebenau, Anita (VerfasserIn) , Mattos, Letícia (VerfasserIn) , Morrison, Natasha (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2024
In: SIAM journal on discrete mathematics
Year: 2024, Jahrgang: 38, Heft: 3, Pages: 2297-2311
ISSN:1095-7146
DOI:10.1137/24M1639488
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/24M1639488
Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/24M1639488
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Verfasserangaben:József Balogh, Anita Liebenau, Letícia Mattos, Natasha Morrison
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Zusammenfassung:The -blow-up of a given graph is obtained by replacing each edge by a clique of order where the new vertices of the cliques are distinct. Liu and Yuan determined the extremal graphs for the 3-blow-ups of a triangle and the -blow-ups of any complete graph with order at most , respectively. We determine the Turán number for the -blow-ups of a complete graph with order at least , completing the study of the extremal graphs for -blow-ups of complete graphs.
Beschreibung:Gesehen am 25.06.2025
Beschreibung:Online Resource
ISSN:1095-7146
DOI:10.1137/24M1639488