2 papers
math.PR2021
First and second moments of the size distribution of bond percolation clusters on regular graphs
Nicolas Lanchier, Axel La Salle
Motivated by network resilience and insurance premiums in the context of cyber security, we derive universal upper bounds for the first and second moments of the size of bond perco…
math.PR2020
Cluster size in bond percolation on the Platonic solids
Nicolas Lanchier, Axel La Salle
The main objective of this paper is to study the size of a typical cluster of bond percolation on each of the five Platonic solids: the tetrahedron, the cube, the octahedron, the d…