Name
Title | ||
|---|---|---|
The Hexagonal Geometrical Structure of the N-Coverage Networks in the G2-Lie Algebra Framework. |
Abstract | ||
|---|---|---|
In this paper, we investigate an interplay between the hexagonal network models and the root system of a particular class of rank two Lie algebras, called $$G_2$$G2. In this work, we show that the hexagonal cells explored in telecommunication systems are associated with the nonzero roots of $$G_2$$G2-generalized Lie algebras. More precisely, the $$G_2$$G2 hexagons are analyzed in some details and they are shown to be linked to the equation defining the co-channel reuse ratio. Using root systems and Dynkin diagrams technics, we reveal that such a equation can be converted into an algebraic relation in terms of the two simple roots describing $$G_2$$G2-generalized Lie algebras. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s11277-016-3267-z | Wireless Personal Communications |
Keywords | Field | DocType |
Cellular communication,Network systems,Hexagonal models,G(2) Lie algebra | Discrete mathematics,Graded Lie algebra,Simple Lie group,Real form,Adjoint representation of a Lie algebra,Killing form,Affine Lie algebra,Kac–Moody algebra,Lie conformal algebra,Mathematics | Journal |
Volume | Issue | ISSN |
89 | 2 | 0929-6212 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aouatif Amine | 1 | 85 | 9.29 |
| Adil Belhaj | 2 | 0 | 0.34 |
| Moulay Brahim Sedra | 3 | 0 | 0.34 |