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math.CO2019★ 2 cited
Resolution of a conjecture on majority dynamics: rapid stabilisation in dense random graphs
Nikolaos Fountoulakis, Mihyun Kang, Tamás Makai
We study majority dynamics on the binomial random graph with and , for some large . In this process, each vertex has a state in a…
math.CO2019
The Size of the Giant Joint Component in a Binomial Random Double Graph
Mark Jerrum, Tamás Makai
We study the joint components in a random `double graph' that is obtained by superposing red and blue binomial random graphs on ~vertices. A joint component is a maximal set of…