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Computable Approximations of Semicomputable Graphs

2024/11/20 by Čačić, Vedran, Čelar, Matea, Horvat, Marko +1
#03D78 #03D80 #03F60 #F.1.1 #FOS: Computer and information sciences #Logic in Computer Science (cs.LO)

paper · doi:10.48550/arxiv.2411.13672

Abstract

In this work, we study the computability of topological graphs, which are obtained by gluing arcs and rays together at their endpoints. We prove that every semicomputable graph in a computable metric space can be approximated, with arbitrary precision, by its computable subgraph with computable endpoints.

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