People
We must try to find ways to starve the terrorist and the hijacker of the oxygen of publicity on which they depend.
— Margaret Thatcher

Behind the line May contain spoilers.
Our reading
An editorial interpretation.
The speaker treats publicity as something that sustains terrorists and hijackers. Calling it oxygen makes attention sound like a vital supply that could be restricted. The quotation proposes denying that supply, using a vivid metaphor to argue against giving them exposure.
Context reviewed