4hw - (a) Determine whether a system with the test graph...

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ECE/CS 598NV Special Topics (Distributed Algorithms) Fall 2010 Homework 4 Total points: 20 Due: 9:30 a.m. on November 2, 2010 1. (5 points) Problem 8.1 in the textbook.
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2. (5 points) This question relates to the paper on weighted voting by Tong and Kain. Consider a system consisting of four nodes, named 1, 2, 3, and 4, with the probability p i that node i is operational as follows: p 1 = p 2 = 4 5 p 3 = p 4 = 8 9 (a) Suggest a vote assignment that maximizes the reliability. (b) Determine the active subsets achieved with your vote assignment. (Or, alternatively, determine the quorum system obtained with your vote assignment.)
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3. (5 points) This question relates to system-level diagnosis, with the symmetric invalidation model for permanent faults (see section 3.1 of the paper by Somani).
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Unformatted text preview: (a) Determine whether a system with the test graph below is t-diagnosable for (i) t = 1 and (ii) t = 2. B C E F G H A D Explain your answers. (i) t = 1 (ii) t = 2 (b) State true or false with explanation : A test graph of n nodes with n > 2 t and connectivity t is t-diagnosable. 4. (5 points) This question relates to the tech report on equality computation by Liang and Vaidya. Present an algorithm for the MEQ-AD(3,5) problem. Your algorithm should have the property that the values sent by each node depend entirely on its initial input. Represent your answer using a bipartite graph as in the example in Figure 2 of the report. Recommended exercise: Determine whether your algorithm is optimal....
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4hw - (a) Determine whether a system with the test graph...

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