Saturation in the hypercube and bootstrap percolation

Let Qd denote the hypercube of dimension d. Given d ⩾ m, a spanning subgraph G of Qd is said to be (Qd , Qm )-saturated if it does not contain Qm as a subgraph but adding any edge of E(Qd )\E(G) creates a copy of Qm in G. Answering a question of Johnson and Pinto [27], we show that for every fixed m...

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Detalhes bibliográficos
Main Authors: Morrison, N, Noel, J, Scott, A
Formato: Journal article
Publicado em: Cambridge University Press 2016