Geodesic
On a sphere of influence graph in a one-dimensional space
Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 3, pp. 427-433

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A sphere of influence graph generated by a finite population of generated points on the real line by a Poisson process is considered. We determine the expected number and variance of societies formed by population of n points in a one-dimensional space.
Keywords: cluster, sphere of influence graph 
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Palka, Zbigniew; Sperling, Monika. On a sphere of influence graph in a one-dimensional space. Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 3, pp. 427-433. http://geodesic.mathdoc.fr/item/DMGT_2005_25_3_a18/