On the topological Properties of the One Dimensional Exponential Random Geometric Graph

Details On the topological Properties of the One Dimensional Exponential Random Geometric Graph On the topological Properties of the One Dimensional Exponential Random Geometric Graph

2006-04-27

arxiv.org/abs/math/0604598v2

Mathematics

Probability

Accepted in the journal 'Random Structures and Algorithms'

Scientific paper

In this paper we study the one dimensional random geometric graph when the location of the nodes are independent and exponentially distributed. We derive exact results and the limit theorems for the connectivity and other properties associated with this random graph. We show that the asymptotic properties of a graph with a truncated exponential distribution can be obtained using the exponential random geometric graph.

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