1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.CO2014★ 1 cited
Limit law for number of components of fixed sizes of graphs with degree one or two
Nicolas Broutin, Élie de Panafieu
We consider graphs with vertices of degree 1 or 2 and prove that the numbers of components of sizes 2 to q have a limit normal distribution for any q > 1. The result is also extend…
math.CO2014
Analytic Description of the Phase Transition of Inhomogeneous Multigraphs
Élie de Panafieu, Vlady Ravelomanana
We introduce a new model of random multigraphs with colored vertices and weighted edges. It is similar to the "inhomogeneous random graph model" of Söderberg (2002), extended by Bo…