Gossiping with bounded size messages in ad hoc radio networks (Extended abstract)

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Abstract

We study deterministic algorithms for the gossiping problem in ad hoc radio networks under the assumption that each combined message contains at most b(n) single messages or bits of auxiliary information, where b is an integer function and n is the number of nodes in the network. We term such a restricted gossiping problem b(n) -gossiping. We show that rootn-gossiping in an ad hoc radio network on n nodes can be done deterministically in time (O) over tilde (n(3/2)) which asymptotically matches the best known upper bound on the time complexity of unrestricted deterministic gossiping(dagger). Our upper bound on rootn-gossiping is tight up to a poly-logarithmic factor and it implies similarly tight upper bounds on b(n)-gossiping where function b is computable and 1 less than or equal to b(n) : rootn holds. For symmetric ad hoc radio networks, we show that even 1-gossiping can be done deterministically in time (O) over tilde (n(3/2)). We also demonstrate that O(n(t))-gossiping in a symmetric ad hoc radio network on n nodes can be done in time O(n(2-t)). Note that the latter upper bound is o(n(3/2)) when the size of a combined message is w(n(1/2)). Furthermore, by adopting known results on repeated randomized broadcasting in symmetric ad hoc radio networks, we derive a randomized protocol for 1-gossiping in these networks running in time (O) over tilde (n) on the average. Finally, we observe that when a collision detection mechanism is available, even deterministic 1-gossiping in symmetric ad hoc radio networks can be performed in time (O) over tilde (n).

Details

Authors
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Computer Science
Original languageEnglish
Title of host publicationAutomata, Languages and Programming / Lecture Notes in Computer Science
PublisherSpringer
Pages377-389
Volume2380
Publication statusPublished - 2002
Publication categoryResearch
Peer-reviewedYes
Event29th International Colloquium, ICALP 2002 - Malaga, Spain
Duration: 2002 Jul 82002 Jul 13

Publication series

Name
Volume2380
ISSN (Print)1611-3349
ISSN (Electronic)0302-9743

Conference

Conference29th International Colloquium, ICALP 2002
CountrySpain
CityMalaga
Period2002/07/082002/07/13