Name
Abstract | ||
|---|---|---|
We introduce a new graph parameter called the burning number, inspired by contact processes on graphs such as graph bootstrap percolation, and graph searching paradigms such as Firefighter. The burning number measures the speed of the spread of contagion in a graph; the lower the burning number, the faster the contagion spreads. We provide a number of properties of the burning number, including characterizations and bounds. The burning number is computed for several graph classes, and is derived for the graphs generated by the Iterated Local Transitivity model for social networks. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1080/15427951.2015.1103339 | INTERNET MATHEMATICS |
Field | DocType | Volume |
Discrete mathematics,Strength of a graph,Combinatorics,Line graph,Graph property,Simplex graph,Regular graph,Null graph,Butterfly graph,Voltage graph,Mathematics | Journal | 12 |
Issue | ISSN | Citations |
1-2 | 1542-7951 | 8 |
PageRank | References | Authors |
1.09 | 11 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| anthony bonato | 1 | 94 | 19.61 |
| Jeannette Janssen | 2 | 295 | 32.23 |
| elham roshanbin | 3 | 26 | 4.31 |