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Math."],"published-print":{"date-parts":[[2026,8]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We study the inverse problem for singular, irreducible, symmetric\n                    <jats:italic>M<\/jats:italic>\n                    -matrices that consists in characterizing those for which the group inverse is again an\n                    <jats:italic>M<\/jats:italic>\n                    -matrix. We solve the problem for a structured class of such matrices arising from star graphs by employing both matrix-theoretic tools and potential theory on networks. Our approach yields explicit criteria for the\n                    <jats:italic>M<\/jats:italic>\n                    -property of the group inverse in terms of conductances and Doob potentials, and provides a constructive procedure to obtain such families of matrices with the desired property.\n                  <\/jats:p>","DOI":"10.1007\/s40314-026-03651-2","type":"journal-article","created":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T05:12:38Z","timestamp":1772514758000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The M-matrix group inverse problem for star networks"],"prefix":"10.1007","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7713-1066","authenticated-orcid":false,"given":"\u00c1.","family":"Carmona","sequence":"first","affiliation":[]},{"given":"A. 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