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A monitoring edge-geodetic (MEG for short) set can monitor all edges of [Formula: see text] and the minimum size of an MEG set is the monitoring edge-geodetic number and is written [Formula: see text]. In this paper, we obtain the MEG numbers of small world networks, hexagonal networks, hex-derived networks, enhanced mesh networks, and hexagonal star networks. <\/jats:p>","DOI":"10.1142\/s0219265924500270","type":"journal-article","created":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T02:55:57Z","timestamp":1735181757000},"source":"Crossref","is-referenced-by-count":0,"title":["The Monitoring Edge-Geodetic Numbers of Some Networks"],"prefix":"10.1142","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-4545-2470","authenticated-orcid":false,"given":"Xiaojie","family":"Sun","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. 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