A note on uniform power connectivity in the SINR model

Chen Avin, Zvi Lotker, Francesco Pasquale, Yvonne Anne Pignolet

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

21 Scopus citations

Abstract

In this paper we study the connectivity problem for wireless networks under the Signal to Interference plus Noise Ratio (SINR) model. Given a set of radio transmitters distributed in some area, we seek to build a directed strongly connected communication graph, and compute an edge coloring of this graph such that the transmitter-receiver pairs in each color class can communicate simultaneously. Depending on the interference model, more or less colors, corresponding to the number of frequencies or time slots, are necessary. We consider the SINR model that compares the received power of a signal at a receiver to the sum of the strength of other signals plus ambient noise . The strength of a signal is assumed to fade polynomially with the distance from the sender, depending on the so-called path-loss exponent α. We show that, when all transmitters use the same power, the number of colors needed is constant in one-dimensional grids if α> 1 as well as in two-dimensional grids if α> 2. For smaller path-loss exponents and two-dimensional grids we prove upper and lower bounds in the order of and Ω(logn/loglogn) for α= 2 and Θ(n 2/α- 1) for α< 2 respectively. If nodes are distributed uniformly at random on the interval [0,1], a regular coloring of colors guarantees connectivity, while Ω(log logn) colors are required for any coloring.

Original languageEnglish
Title of host publicationAlgorithmic Aspects of Wireless Sensor Networks - 5th International Workshop, ALGOSENSORS 2009, Revised Selected Papers
Pages116-127
Number of pages12
DOIs
StatePublished - 1 Dec 2009
Event5th International Workshop on Algorithmic Aspects of Wireless Sensor Networks, ALGOSENSORS 2009 - Rhodes, Greece
Duration: 10 Jul 200911 Jul 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5804 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Workshop on Algorithmic Aspects of Wireless Sensor Networks, ALGOSENSORS 2009
Country/TerritoryGreece
CityRhodes
Period10/07/0911/07/09

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)

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