{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:12:05Z","timestamp":1760145125675,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T00:00:00Z","timestamp":1718928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100009526","name":"AMRITA VISHWA VIDYAPEETHAM","doi-asserted-by":"publisher","award":["PVO\/Pubn\/2024\/041"],"award-info":[{"award-number":["PVO\/Pubn\/2024\/041"]}],"id":[{"id":"10.13039\/100009526","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A set S\u2286V is referred to as a k-fault-tolerant power-dominating set of a given graph G=(V,E) if the difference S\u2216F remains a power-dominating set of G for any F\u2286S with |F|\u2264k, where k is an integer with 0\u2264k&lt;|V|. The lowest cardinality of a k-fault-tolerant power-dominating set is the k-fault-tolerant power-domination number of G, denoted by \u03b3Pk(G). Generalized Petersen graphs GP(m,k) and generalized cylinders SG are two well-known graph classes. In this paper, we calculate the k-fault-tolerant power-domination number of the generalized Petersen graphs GP(m,1) and GP(m,2). Also, we obtain \u03b3Pk(G) for the subclasses of cylinders SCm and SBm.<\/jats:p>","DOI":"10.3390\/sym16070781","type":"journal-article","created":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T08:50:08Z","timestamp":1718959808000},"page":"781","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Bound for the k-Fault-Tolerant Power-Domination Number"],"prefix":"10.3390","volume":"16","author":[{"given":"Lakshmi","family":"Girish","sequence":"first","affiliation":[{"name":"Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Kochi 682024, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2226-1845","authenticated-orcid":false,"given":"Kanagasabapathi","family":"Somasundaram","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore 641112, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1109\/59.260810","article-title":"Power system observability with minimal phasor measurement placement","volume":"8","author":"Baldwin","year":"1993","journal-title":"IEEE Trans. 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