Abstract
We study deterministic gossiping in ad-hoc radio networks, where labels of the nodes are large, i.e., they are polynomially large in the size n of the network. A label-free model was introduced in the context of randomized broadcasting in ad-hoc radio networks, see [2]. Most of the work on deterministic communication in ad-hoc networks was done for the model with labels of size O(n), with few exceptions; Peleg [19] raised the problem of deterministic communication in ad-hoc radio networks with large labels and proposed the first deterministic O(n 2 log n)- time broadcasting algorithm. In [11] Chrobak et al. proved that deterministic radio broadcasting can be performed in time O(n log 2 n); their result holds for large labels.
Here we propose two new deterministic gossiping algorithms for ad-hoc radio networks with large labels. In particular:
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a communication procedure giving an O(n 5/3 log 3 n)-time deterministic gossiping algorithm for directed networks and an O(n 4/3 log 3 n)- time algorithm for undirected networks;
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a gossiping procedure designed particularly for undirected networks resulting in an almost linear O(n log 3 n)-time algorithm.
Research supported in part by GR/N09855 and GR/R85921 EPSRC grants.
Part of this work was done while this author was with the Department of Computer Science, University of Liverpool.
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Gaşieniec, L., Pagourtzis, A., Potapov, I. (2002). Deterministic Communication in Radio Networks with Large Labels. In: Möhring, R., Raman, R. (eds) Algorithms — ESA 2002. ESA 2002. Lecture Notes in Computer Science, vol 2461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45749-6_46
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DOI: https://doi.org/10.1007/3-540-45749-6_46
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