Thesis Structure and Contribution Sample Clauses

Thesis Structure and Contribution. ‌ In this section we provide an overview of each chapter of the thesis by summarising its main contributions based on the questions set earlier in this introduction. Chapter 2 formally defines the set of rules of a Flag Coordination Game, and in- troduces the necessary technical background and provides a summary of the relevant related work. In Chapter 3, we focus on the convergence of synchronous consensus protocols. Prior work in this field established probabilities for the convergence-to-consensus for each one of several possible opinions, as well as time bounds for the process to end. All agents change their opinions synchronously taking into account the colours of their neighbours and using a common algorithm. Previous work, however, assumes that the Markov chain that describes this process has only the consensus states as recurrent ones, discarding graphs that might lead to loops in the consensus game. In the first part of Chapter 3, building on previous work on general graphs by Xxxxxx and Peleg [35], we present results for Questions A1, A2, and A3 for bipartite undirected graphs. These are graphs where the nodes can be divided Chapter 1: Introduction Chapter 2: Formalities and Related Work A1 A3
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