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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1294,
author = {Zbigniew Palka and Monika Sperling},
title = {On a sphere of influence graph in a one-dimensional space},
journal = {Discussiones Mathematicae Graph Theory},
volume = {25},
year = {2005},
pages = {427-433},
zbl = {1101.60007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1294}
}
Zbigniew Palka; Monika Sperling. On a sphere of influence graph in a one-dimensional space. Discussiones Mathematicae Graph Theory, Tome 25 (2005) pp. 427-433. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1294/
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