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The small-world problem in a spatial context

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Abstract

The small-world problem poses the question: "How many steps does it take to link any two people, selected at random?" A simulation model is built to examine this question, but focusing on the spatial side of the problem. Four aspects are investigated in detail: the general distribution of steps with parameter changes; channelling effects; the sensitivity of the overall structure to disconnection; and ghettoisation of an area. Some suggestions are made for further possible applications of the model.

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