Susceptibility in inhomogeneous random graphs
We study the susceptibility, i.e., the mean size of the component containing a random vertex, in a general model of inhomogeneous random graphs. This is one of the fundamental quantities associated to (percolation) phase transitions; in practice one of its main uses is that it often gives a way of d...
| Váldodahkkit: | , |
|---|---|
| Materiálatiipa: | Journal article |
| Giella: | English |
| Almmustuhtton: |
2009
|
| Čoahkkáigeassu: | We study the susceptibility, i.e., the mean size of the component containing a random vertex, in a general model of inhomogeneous random graphs. This is one of the fundamental quantities associated to (percolation) phase transitions; in practice one of its main uses is that it often gives a way of determining the critical point by solving certain linear equations. Here we relate the susceptibility of suitable random graphs to a quantity associated to the corresponding branching process, and study both quantities in various natural examples. |
|---|