{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T22:55:21Z","timestamp":1780095321841,"version":"3.54.0"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2025,10]]},"abstract":"<jats:p> In this paper, we investigate bounds for the fault-tolerant metric dimension and adjacency fault-tolerant resolving set of corona product graphs. Let [Formula: see text] and [Formula: see text] be two graphs with orders [Formula: see text] and [Formula: see text], respectively. The corona product of the graphs [Formula: see text] and [Formula: see text], denoted by [Formula: see text], is constructed by taking one copy of [Formula: see text] and [Formula: see text] copies of [Formula: see text], connecting each vertex of the [Formula: see text]th copy of [Formula: see text] to the [Formula: see text]th vertex of [Formula: see text] by an edge. For any integer [Formula: see text], we recursively define the graph [Formula: see text] as [Formula: see text]. We present several results on the fault-tolerant metric dimension and the adjacency fault-tolerant resolving set of corona product graphs. Additionally, we explore the relationship between the fault-tolerant metric dimension and the adjacency fault-tolerant metric dimension of a graph [Formula: see text]. Finally, we determine the adjacency fault-tolerant metric dimension of path, cycle, complete, complete bipartite, and star graphs. <\/jats:p>","DOI":"10.1142\/s1793830924501052","type":"journal-article","created":{"date-parts":[[2024,10,10]],"date-time":"2024-10-10T08:00:58Z","timestamp":1728547258000},"source":"Crossref","is-referenced-by-count":2,"title":["On study of some bounds for fault-tolerant metric dimension and adjacency fault-tolerant resolving set of corona product graphs"],"prefix":"10.1142","volume":"17","author":[{"given":"Muhammad Asif","family":"Shahzad","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bahauddin Zakariya University, 60800 Punjab, Multan, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4116-9673","authenticated-orcid":false,"given":"Nasir","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Vehari Campus 61100, Vehari Punjab, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Suhad Ali","family":"Osman Abdallah","sequence":"additional","affiliation":[{"name":"Applied College, Khamis Mushait, King Khalid University, Abha 62529, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"N. 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