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We analyze the message complexity of these algorithms and provide performance results from simulations.
Korach, S. Moran, S. Zaks, The optimality of distributive constructions of minimum weight and degree restricted spanning trees in a complete network of processors, SIAM Journal on Computing 16 (2) (1987) 231 236] implies that the expected message complexity of our algorithm is significantly better than the best distributed algorithm that finds an optimal k-connected subgraph.
The message complexity of E-MCDS is O(n).
Therefore, the message complexity of RECRA is O(N).
Thus the message complexity of E-MCDS is O(n).
The message complexity of these algorithms depends on n.
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Thus, although the TD increases, the number of the network packets sent by nodes is almost not changed, which indicates that the energy of the network is mainly consumed by the data packets and the messages complexity of the E-MCDS is low.
Figure2a shows the pmfs of message complexity for the standard protocol for n = 5 and s = 10.
This paper presents bounds and results of empirical study on the time, space and message complexity aspects of a wireless sensor network and multilayer perceptron neural network design.
Our study involves an extensive computational and message complexity analysis of each algorithm, and a classification for their deployment characteristics and algorithmic complexities.
In the following, we analyze different approaches for choosing P and compare their performance with respect to (a) reliability, the probability that the selection is successful; (b) message complexity, the number of replies sent from candidate nodes; and (c) delay, the number of contention slots used for one selection attempt.
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