Abstract | ||
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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 |
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2014 | 10.1007/978-3-319-13123-8_2 | ALGORITHMS AND MODELS FOR THE WEB GRAPH (WAW 2014) |
Field | DocType | Volume |
Emotional contagion,Discrete mathematics,Combinatorics,Social network,Regular grid,Computer science,Climate graph,Domination analysis,Connectivity,Iterated function,Transitive relation | Conference | 8882 |
ISSN | Citations | PageRank |
0302-9743 | 7 | 1.05 |
References | Authors | |
12 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
anthony bonato | 1 | 94 | 19.61 |
Jeannette Janssen | 2 | 295 | 32.23 |
elham roshanbin | 3 | 26 | 4.31 |