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Edward Howorka first introduced that a connected graph [Formula: see text] is distance-hereditary if and only if [Formula: see text] for all [Formula: see text] for every connected induced subgraph [Formula: see text] of [Formula: see text] In this paper, we study the distance-hereditary properties of product graphs.<\/jats:p>","DOI":"10.1142\/s0219265925500021","type":"journal-article","created":{"date-parts":[[2025,3,5]],"date-time":"2025-03-05T06:53:46Z","timestamp":1741157626000},"source":"Crossref","is-referenced-by-count":0,"title":["Distance-Hereditary Properties in Product Graphs"],"prefix":"10.1142","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-1757-9833","authenticated-orcid":false,"given":"P.","family":"Amalorpavamary","sequence":"first","affiliation":[{"name":"Department of Mathematics, Fatima College, Madurai 625018, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0439-695X","authenticated-orcid":false,"given":"R.","family":"Sundareswaran","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam, Chennai 603110, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2405-7402","authenticated-orcid":false,"given":"M.","family":"Shanmugapriya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam, Chennai 603110, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5840-2040","authenticated-orcid":false,"given":"V.","family":"Swaminathan","sequence":"additional","affiliation":[{"name":"Ramanujan Research Center in Mathematics, Saraswathi Narayanan College, Madurai 625022, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,3,5]]},"reference":[{"key":"S0219265925500021BIB001","doi-asserted-by":"publisher","DOI":"10.1137\/0217032"},{"key":"S0219265925500021BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(97)00215-X"},{"key":"S0219265925500021BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(86)90043-2"},{"key":"S0219265925500021BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45477-2_8"},{"key":"S0219265925500021BIB005","unstructured":"S. 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