Dominykas Marma

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math.PR2024

Two models of sparse and clustered dynamic networks

Mindaugas Bloznelis, Dominykas Marma

We present two models of sparse dynamic networks that display transitivity - the tendency for vertices sharing a common neighbour to be neighbours of one another. Our first network…

math.PR2023

Connectivity threshold for superpositions of Bernoulli random graphs. II

Mindaugas Bloznelis, Dominykas Marma, Rimantas Vaicekauskas

Let $G_{1}, \dots, G_{m}$ be independent Bernoulli random subgraphs of the complete graph $K_{n}$ having variable sizes $X_{1}, \dots, X_{m} \in {0, 1, 2, \dots}$ and densities $Q_1,\dots…