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• W2962757025 abstract "We solve a problem of Krivelevich, Kwan and Sudakov concerning the threshold for the containment of all bounded degree spanning trees in the model of randomly perturbed dense graphs. More precisely, we show that, if we start with a dense graph G α on n vertices with δ ( G α ) ≥ αn for α > 0 and we add to it the binomial random graph G ( n , C / n ), then with high probability the graph G α ∪ G ( n , C / n ) contains copies of all spanning trees with maximum degree at most Δ simultaneously, where C depends only on α and Δ." @default.
• W2962757025 created "2019-07-30" @default.
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• W2962757025 date "2019-04-07" @default.
• W2962757025 modified "2023-10-16" @default.
• W2962757025 title "Universality for bounded degree spanning trees in randomly perturbed graphs" @default.
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• W2962757025 doi "https://doi.org/10.1002/rsa.20850" @default.
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