Colour-bias perfect matchings in hypergraphs

Autor: Hàn, Hiêp, Lang, Richard, Marciano, João Pedro, Pavez-Signé, Matías, Sanhueza-Matamala, Nicolás, Treglown, Andrew, Zárate-Guerén, Camila
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We study conditions under which an edge-coloured hypergraph has a particular substructure that contains more than the trivially guaranteed number of monochromatic edges. Our main result solves this problem for perfect matchings under minimum degree conditions. This answers recent questions of Gishboliner, Glock and Sgueglia, and of Balogh, Treglown and Z\'arate-Guer\'en.
Databáze: arXiv