This paper presents deterministic sublinear-time distributed algorithms for network decomposition and for constructing a sparse neighborhood cover of a network. The latter construction leads to improved distributed preprocessing time for a number of distributed algorithms, including all-pairs shortest paths computation, load balancing, broadcast, and bandwidth management. © 1996 Academic Press, Inc.
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Awerbuch, B., Berger, B., Cowen, L., & Peleg, D. (1996). Fast distributed network decompositions and covers. Journal of Parallel and Distributed Computing, 39(2), 105–114. https://doi.org/10.1006/jpdc.1996.0159