Improved schedule for radio broadcast

Michael Elkin, Guy Kortsarz

Research output: Contribution to conferencePaperpeer-review

42 Scopus citations

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 languageEnglish (US)
Pages222-231
Number of pages10
StatePublished - Jul 1 2005
EventSixteenth Annual ACM-SIAM Symposium on Discrete Algorithms - Vancouver, BC, United States
Duration: Jan 23 2005Jan 25 2005

Other

OtherSixteenth Annual ACM-SIAM Symposium on Discrete Algorithms
CountryUnited States
CityVancouver, BC
Period1/23/051/25/05

All Science Journal Classification (ASJC) codes

  • Software
  • Mathematics(all)

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