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math.PR2012
Distribution of components in the k-nearest neighbour random geometric graph for k below the connectivity threshold
Victor Falgas-Ravry
Let S_{n,k} denote the random geometric graph obtained by placing points inside a square of area n according to a Poisson point process of intensity 1 and joining each such point t…
math.CO2012
Turán H-densities for 3-graphs
Victor Falgas-Ravry, Emil R. Vaughan
Given an -graph on vertices, and a family of forbidden subgraphs, we define $\ex_{H}(n, \mathcal{F})$ to be the maximum number of induced copies of in…