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Showing 1 to 4 of 4 for “"infinite graph"”.
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Methods for Computing Genus Distribution Using Double-Rooted Graphs
… the genus distribution of various types of graph families, using the concept of double-rooted graphs, which are defined to be graphs with two vertices designated as roots (the methods developed in this dissertation are limited to the cases where one of the two roots is restricted to be of …
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Probabilistic techniques for large-scale coordination and clustering
… operations research. Specifically, we focus on infinite graph and infinite point process methods to analyze the dynamics of blockchains, the Hegselmann--Krause model, and a stochastic dynamic clustering model for data science. For blockchains, we show that the $t \to \infty$ limit is crucial for …
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Stochastic dynamics with singular lower order terms in finite and infinite dimensions
… unbounded spin system on a simple and connected infinite graph $mathbb{G(V,E)}$ which is of bounded degree. We assume that the potential energy of each configuration $x in Omega:=mathbb{R}^{mathbb{V}}$ is given by the formal Hamiltonian $$ H(x)=sum _{v in …
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Exact covering system digraphs a number-theoretic family of directed graphs on the integers
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms