Skip to Main content Skip to Navigation
Journal articles

On the complexity of distributed BFS in ad hoc networks with non-spontaneous wake-ups

Abstract : We study time and message complexity of the problem of building a BFS tree by a spontaneously awaken node in ad hoc network. Computation is in synchronous rounds, and messages are sent via point-to-point bi-directional links. Network topology is modeled by a graph. Each node knows only its own id and the id's of its neighbors in the network and no pre-processing is allowed; therefore the solutions to the problem of spanning a BFS tree in this setting must be distributed. We deliver a deterministic distributed solution that trades time for messages, mainly, with time complexity O(D . min(D; n=f(n)) . logD . log n) and with the number of point-to-point messages sent O(n. (min(D; n=f(n))+f(n)) . logD. log n), for any n-node network with diameter D and for any monotonically non-decreasing sub-linear integer function f. Function f in the above formulas come from the threshold value on node degrees used by our algorithms, in the sense that nodes with degree at most f(n) are treated differently that the other nodes. This yields the first BFS-finding deterministic distributed algorithm in ad hoc networks working in time o(n) and with o(n2) message complexity, for some suitable functions f(n) = o(n= log2 n), provided D = o(n= log4 n).
Document type :
Journal articles
Complete list of metadata

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/hal-00965724
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Wednesday, March 26, 2014 - 3:47:41 PM
Last modification on : Monday, January 15, 2018 - 11:43:26 AM
Long-term archiving on: : Thursday, June 26, 2014 - 10:51:36 AM

File

2321-8410-1-PB.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00965724, version 1

Collections

Citation

Dariusz Kowalski, Krzysztof Krzywdziński. On the complexity of distributed BFS in ad hoc networks with non-spontaneous wake-ups. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2013, Vol. 15 no. 3 (3), pp.101--118. ⟨hal-00965724⟩

Share

Metrics

Record views

350

Files downloads

787