Connectivity of Soft Random Geometric Graphs over Annuli

被引：20

作者：

Giles, Alexander P. ^{[1
]}

Georgiou, Orestis ^{[2
]}

Dettmann, Carl P. ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Univ Walk, Bristol BS8 1TW, Avon, England

[2] Toshiba Telecommun Res Lab, 32 Queen Sq, Bristol BS1 4ND, Avon, England

来源：

JOURNAL OF STATISTICAL PHYSICS | 2016年 / 162卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Random geometric graphs; Statistical mechanics; Graph theory; Network science; Ad hoc networks; Communication theory;

D O I：

10.1007/s10955-015-1436-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading of radio-frequency data signals. We then present analytic formulas for the connection probability of these spatially embedded graphs, describing the connectivity behaviour as a dense-network limit is approached. This extends recent work modelling ad hoc networks in non-convex domains.

引用

页码：1068 / 1083

页数：16

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