The firefighter problem is a discrete-time game on graphs introduced by Hartnell in an attempt to model the spread of fire, diseases, computer viruses and suchlike in a macro-control level. To measure the defence ability of a graph as a whole, Cai and Wang defined the surviving rate of a graph G, which is the average percentage of vertices that can be saved when a fire starts randomly at one ve...

In the afternoon of March 23, 2006 a Providence firefighter was diagnosed as having cyanide poisoning after working at a building fire. In the aftermath of three fires at commercial and residential sites that day, eight additional firefighters (out of 28 tested) were found to have elevated levels of cyanide. Numerous other members reported symptoms consistent with cyanide poisoning, including h...

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...

The firefighter problem (FFP) is used as a model to simulate how a fire breaks out and spreads to its surroundings over a discrete time period. The goal is to deploy a given number of firefighters on strategic points at each time step to contain the fire in a most efficient way, so that as many areas are saved from the fire as possible. In this paper we introduce a new solution representation f...

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BACKGROUND Recent epidemiological research on firefighters indicates an increased incidence of specific types of cancer. Intervention is needed in the fire service yet little is known about how firefighters perceive their cancer risk. METHODS Participant observation (150 h, n = 100) and focus group (n = 17) data were collected from 15 fire stations in South Florida. Firefighters had at least ...

Airplanes and helicopters are integral to the management and suppression of wildfires, often operating in high-risk, low-altitude environments. To update data on aviation-related wildland firefighting fatalities, identify risk factors, and make recommendations for improved safety, CDC's National Institute for Occupational Safety and Health (NIOSH) analyzed reports from multiple data sources for...