64 citations · 89 across the 4 of their papers we have counts for
5 papers
Phase Transition with the Berezinskii--Kosterlitz--Thouless Singularity in the Ising Model on a Growing Network
M. Bauer, S. Coulomb, S. N. Dorogovtsev
We consider the ferromagnetic Ising model on a highly inhomogeneous network created by a growth process. We find that the phase transition in this system is characterised by the Be…
Minimal vertex covers of random trees
Stephane Coulomb
We study minimal vertex covers of trees. Contrarily to the number of minimal vertex covers of the tree , is a self-averaging quantity. We show that,…
On vertex covers, matchings and random trees
Stephane Coulomb, Michel Bauer
We study minimal vertex covers and maximal matchings on trees. We pay special attention to the corresponding backbones i.e. these vertices that are occupied and those that are empt…
On certain perturbations of the Erdos-Renyi random graph
Stephane Coulomb, Michel Bauer
We study perturbations of the Erdos-Renyi model for which the statistical weight of a graph depends on the abundance of certain geometrical patterns. Using the formal correspondanc…
Asymmetric evolving random networks
Stephane Coulomb, Michel Bauer
We generalize the poissonian evolving random graph model of Bauer and Bernard to deal with arbitrary degree distributions. The motivation comes from biological networks, which are…