Improved schedule for radio broadcast

Michael Elkin; Guy Kortsarz

Improved schedule for radio broadcast

Michael Elkin, Guy Kortsarz

Research output: Contribution to conference › Paper › peer-review

Abstract

We show that for every radio network G = (V, E) and source s ε V, there exists a radio broadcast schedule for G of length Rad(G, s) + O(√Rad(G, s) · log² n) = O(Rad(G, s) + log⁴ n), where Rad(G, s) is the radius of the radio network G with respect to the source s. This result improves the previously best-known upper bound of O(Rad(G, s) + log⁵ n) due to Gaber and Mansour. For graphs with small genus, particularly for planar graphs, we provide an even better upper bound of Rad(G, S) + O(√Rad(G, s) · log n + log³ n) = O(Rad(G, s)+ log³n).

Original language	English
Pages	222-231
Number of pages	10
State	Published - 2005
Externally published	Yes
Event	Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms - Vancouver, BC, United States Duration: 23 Jan 2005 → 25 Jan 2005

Conference

Conference	Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms
Country/Territory	United States
City	Vancouver, BC
Period	23/01/05 → 25/01/05

Cite this

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title = "Improved schedule for radio broadcast",

abstract = "We show that for every radio network G = (V, E) and source s ε V, there exists a radio broadcast schedule for G of length Rad(G, s) + O(√Rad(G, s) · log2 n) = O(Rad(G, s) + log4 n), where Rad(G, s) is the radius of the radio network G with respect to the source s. This result improves the previously best-known upper bound of O(Rad(G, s) + log5 n) due to Gaber and Mansour. For graphs with small genus, particularly for planar graphs, we provide an even better upper bound of Rad(G, S) + O(√Rad(G, s) · log n + log3 n) = O(Rad(G, s)+ log3n).",

author = "Michael Elkin and Guy Kortsarz",

year = "2005",

language = "אנגלית",

pages = "222--231",

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T1 - Improved schedule for radio broadcast

AU - Elkin, Michael

AU - Kortsarz, Guy

PY - 2005

Y1 - 2005

N2 - We show that for every radio network G = (V, E) and source s ε V, there exists a radio broadcast schedule for G of length Rad(G, s) + O(√Rad(G, s) · log2 n) = O(Rad(G, s) + log4 n), where Rad(G, s) is the radius of the radio network G with respect to the source s. This result improves the previously best-known upper bound of O(Rad(G, s) + log5 n) due to Gaber and Mansour. For graphs with small genus, particularly for planar graphs, we provide an even better upper bound of Rad(G, S) + O(√Rad(G, s) · log n + log3 n) = O(Rad(G, s)+ log3n).

AB - We show that for every radio network G = (V, E) and source s ε V, there exists a radio broadcast schedule for G of length Rad(G, s) + O(√Rad(G, s) · log2 n) = O(Rad(G, s) + log4 n), where Rad(G, s) is the radius of the radio network G with respect to the source s. This result improves the previously best-known upper bound of O(Rad(G, s) + log5 n) due to Gaber and Mansour. For graphs with small genus, particularly for planar graphs, we provide an even better upper bound of Rad(G, S) + O(√Rad(G, s) · log n + log3 n) = O(Rad(G, s)+ log3n).

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SP - 222

EP - 231

T2 - Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms

Y2 - 23 January 2005 through 25 January 2005

ER -

Improved schedule for radio broadcast

Abstract

Conference

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