### Abstract

We consider radio networks modeled as directed graphs. In ad hoc radio networks, every node knows only its own label and a linear bound on the size of the network but is unaware of the topology of the network, or even of its own neighborhood. The fastest currently known deterministic broadcasting algorithm working for arbitrary n-node ad hoc radio networks, has running time script O sign(n log^{2} n). Our main result is a broadcasting algorithm working in time script O sign(n log n log D) for arbitrary n-node ad hoc radio networks of eccentricity D. The best currently known lower bound on broadcasting time in ad hoc radio networks is Ω(n log D), hence our algorithm is the first to shrink the gap between bounds on broadcasting time in radio networks of arbitrary eccentricity to a logarithmic factor. We also show a broadcasting algorithm working in time script O sign(n log D) for complete layered n-node ad hoc radio networks of eccentricity D. The latter complexity is optimal.

Original language | English (US) |
---|---|

Pages (from-to) | 109-120 |

Number of pages | 12 |

Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Volume | 2607 |

State | Published - Dec 1 2003 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*,

*2607*, 109-120.

**Faster deterministic broadcasting in Ad Hoc radio retworks.** / Kowalski, Dariusz R.; Pelc, Andrzej.

Research output: Contribution to journal › Article

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*, vol. 2607, pp. 109-120.

}

TY - JOUR

T1 - Faster deterministic broadcasting in Ad Hoc radio retworks

AU - Kowalski, Dariusz R.

AU - Pelc, Andrzej

PY - 2003/12/1

Y1 - 2003/12/1

N2 - We consider radio networks modeled as directed graphs. In ad hoc radio networks, every node knows only its own label and a linear bound on the size of the network but is unaware of the topology of the network, or even of its own neighborhood. The fastest currently known deterministic broadcasting algorithm working for arbitrary n-node ad hoc radio networks, has running time script O sign(n log2 n). Our main result is a broadcasting algorithm working in time script O sign(n log n log D) for arbitrary n-node ad hoc radio networks of eccentricity D. The best currently known lower bound on broadcasting time in ad hoc radio networks is Ω(n log D), hence our algorithm is the first to shrink the gap between bounds on broadcasting time in radio networks of arbitrary eccentricity to a logarithmic factor. We also show a broadcasting algorithm working in time script O sign(n log D) for complete layered n-node ad hoc radio networks of eccentricity D. The latter complexity is optimal.

AB - We consider radio networks modeled as directed graphs. In ad hoc radio networks, every node knows only its own label and a linear bound on the size of the network but is unaware of the topology of the network, or even of its own neighborhood. The fastest currently known deterministic broadcasting algorithm working for arbitrary n-node ad hoc radio networks, has running time script O sign(n log2 n). Our main result is a broadcasting algorithm working in time script O sign(n log n log D) for arbitrary n-node ad hoc radio networks of eccentricity D. The best currently known lower bound on broadcasting time in ad hoc radio networks is Ω(n log D), hence our algorithm is the first to shrink the gap between bounds on broadcasting time in radio networks of arbitrary eccentricity to a logarithmic factor. We also show a broadcasting algorithm working in time script O sign(n log D) for complete layered n-node ad hoc radio networks of eccentricity D. The latter complexity is optimal.

UR - http://www.scopus.com/inward/record.url?scp=35248875290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35248875290&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:35248875290

VL - 2607

SP - 109

EP - 120

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

SN - 0302-9743

ER -