{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T01:38:54Z","timestamp":1768009134608,"version":"3.49.0"},"reference-count":10,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2002,6,1]],"date-time":"2002-06-01T00:00:00Z","timestamp":1022889600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4064,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Linear Algebra and its Applications"],"published-print":{"date-parts":[[2002,6]]},"DOI":"10.1016\/s0024-3795(01)00522-5","type":"journal-article","created":{"date-parts":[[2002,10,14]],"date-time":"2002-10-14T20:48:11Z","timestamp":1034628491000},"page":"7-21","source":"Crossref","is-referenced-by-count":38,"title":["On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree"],"prefix":"10.1016","volume":"348","author":[{"given":"Charles R.","family":"Johnson","sequence":"first","affiliation":[]},{"given":"Ant\u00f3nio","family":"Leal Duarte","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0024-3795(01)00522-5_BIB1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/S0036144596303984","article-title":"Inverse eigenvalues problems","volume":"40","author":"Chu","year":"1998","journal-title":"SIAM Rev."},{"key":"10.1016\/S0024-3795(01)00522-5_BIB2","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1016\/0022-247X(74)90065-1","article-title":"Mechanical vibration trees","volume":"45","author":"Genin","year":"1974","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0024-3795(01)00522-5_BIB3","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1090\/S0025-5718-1980-0583498-3","article-title":"The construction of Jacobi and periodic Jacobi matrices with prescribed spectra","volume":"35","author":"Ferguson","year":"1980","journal-title":"Math. Comp."},{"key":"10.1016\/S0024-3795(01)00522-5_BIB4","series-title":"Matrix Analysis","author":"Horn","year":"1985"},{"key":"10.1016\/S0024-3795(01)00522-5_BIB5","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1080\/03081089908818608","article-title":"The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree","volume":"46","author":"Johnson","year":"1999","journal-title":"Linear and Multilinear Algebra"},{"key":"10.1016\/S0024-3795(01)00522-5_BIB6","doi-asserted-by":"crossref","unstructured":"A. Leal-Duarte, C.R. Johnson, On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree, Math. Inequal. Appl. (to appear)","DOI":"10.7153\/mia-05-19"},{"key":"10.1016\/S0024-3795(01)00522-5_BIB7","series-title":"Inequalities: Theory of Majorization and its Applications","author":"Marshall","year":"1979"},{"key":"10.1016\/S0024-3795(01)00522-5_BIB8","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0024-3795(95)00238-3","article-title":"Minimum-rank matrices with prescribed graph","volume":"248","author":"Nylen","year":"1996","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/S0024-3795(01)00522-5_BIB9","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1137\/0108024","article-title":"On the eigenvalues and eigenvectors of a class of matrices","volume":"8","author":"Parter","year":"1960","journal-title":"J. Soc. Indust. Appl. Math"},{"key":"10.1016\/S0024-3795(01)00522-5_BIB10","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0024-3795(84)90019-3","article-title":"Spectral multiplicity and splitting results for a class of qualitative matrices","volume":"61","author":"Wiener","year":"1984","journal-title":"Linear Algebra Appl."}],"container-title":["Linear Algebra and its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379501005225?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379501005225?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T11:21:49Z","timestamp":1556882509000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0024379501005225"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6]]},"references-count":10,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2002,6]]}},"alternative-id":["S0024379501005225"],"URL":"https:\/\/doi.org\/10.1016\/s0024-3795(01)00522-5","relation":{},"ISSN":["0024-3795"],"issn-type":[{"value":"0024-3795","type":"print"}],"subject":[],"published":{"date-parts":[[2002,6]]}}}