{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T03:16:22Z","timestamp":1775013382714,"version":"3.50.1"},"reference-count":6,"publisher":"Pleiades Publishing Ltd","issue":"3","license":[{"start":{"date-parts":[[2009,9,1]],"date-time":"2009-09-01T00:00:00Z","timestamp":1251763200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2009,9,1]],"date-time":"2009-09-01T00:00:00Z","timestamp":1251763200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Probl Inf Transm"],"published-print":{"date-parts":[[2009,9]]},"DOI":"10.1134\/s0032946009030065","type":"journal-article","created":{"date-parts":[[2009,10,21]],"date-time":"2009-10-21T22:53:59Z","timestamp":1256165639000},"page":"258-263","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On symmetric matrices with indeterminate leading diagonals"],"prefix":"10.1134","volume":"45","author":[{"given":"A. V.","family":"Seliverstov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V. A.","family":"Lyubetsky","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2009,10,23]]},"reference":[{"issue":"2\u20133","key":"4051_CR1","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1016\/j.laa.2007.05.036","volume":"426","author":"S.M. Fallat","year":"2007","unstructured":"Fallat, S.M. and Hogben, L., The Minimum Rank of Symmetric Matrices Described by a Graph: A Survey, Linear Algebra Appl., 2007, vol. 426, no. 2\u20133, pp. 558\u2013582.","journal-title":"Linear Algebra Appl."},{"issue":"2","key":"4051_CR2","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/0024-3795(69)90027-5","volume":"2","author":"M. Fiedler","year":"1969","unstructured":"Fiedler, M., A Characterization of Tridiagonal Matrices, Linear Algebra Appl., 1969, vol. 2, no. 2, pp. 191\u2013197.","journal-title":"Linear Algebra Appl."},{"key":"4051_CR3","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1016\/j.laa.2005.01.026","volume":"401","author":"A. Bento","year":"2005","unstructured":"Bento, A. and Leal Duarte, A., On Fiedler\u2019s Characterization of Tridiagonal Matrices over Arbitrary Fields, Linear Algebra Appl., 2005, vol. 401, pp. 467\u2013481.","journal-title":"Linear Algebra Appl."},{"key":"4051_CR4","volume-title":"Theory of Linear and Integer Programming","author":"A. Schrijver","year":"1986","unstructured":"Schrijver, A., Theory of Linear and Integer Programming, Chichester: Wiley, 1986. Translated under the title Teoriya lineinogo i tselochislennogo programmirovaniya, Moscow: Mir, 1991."},{"key":"4051_CR5","volume-title":"Algebraic Geometry: A First Course","author":"J. Harris","year":"1995","unstructured":"Harris, J., Algebraic Geometry: A First Course, New York: Springer, 1995, 3rd ed. Translated under the title Algebraicheskaya geometriya. Nachal\u2019nyi kurs, Moscow: MCCME, 2005.","edition":"3rd ed"},{"key":"4051_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3849-0","volume-title":"Algebraic Geometry","author":"R. Hartshorne","year":"1977","unstructured":"Hartshorne, R., Algebraic Geometry, New York: Springer, 1977. Translated under the title Algebraicheskaya geometriya, Moscow: Mir, 1981."}],"container-title":["Problems of Information Transmission"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946009030065.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0032946009030065","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946009030065","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946009030065.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T02:07:41Z","timestamp":1775009261000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0032946009030065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,9]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2009,9]]}},"alternative-id":["4051"],"URL":"https:\/\/doi.org\/10.1134\/s0032946009030065","relation":{},"ISSN":["0032-9460","1608-3253"],"issn-type":[{"value":"0032-9460","type":"print"},{"value":"1608-3253","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,9]]},"assertion":[{"value":"4 December 2008","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 April 2009","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 October 2009","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}