{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T05:30:38Z","timestamp":1648963838973},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,3,17]],"date-time":"2012-03-17T00:00:00Z","timestamp":1331942400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Sci"],"published-print":{"date-parts":[[2012,4]]},"DOI":"10.1007\/s10958-012-0735-1","type":"journal-article","created":{"date-parts":[[2012,3,15]],"date-time":"2012-03-15T22:57:01Z","timestamp":1331852221000},"page":"144-158","source":"Crossref","is-referenced-by-count":1,"title":["Faces of faces of the acyclic Birkhoff polytope"],"prefix":"10.1007","volume":"182","author":[{"given":"L.","family":"Costa","sequence":"first","affiliation":[]},{"given":"E. A.","family":"Martins","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,3,17]]},"reference":[{"key":"735_CR1","first-page":"147","volume":"5","author":"G Birkhoff","year":"1946","unstructured":"G. Birkhoff, \u201cTres observaciones sobre el algebra lineal,\u201d Univ. Nac. de Tucum\u00e1n Rev. S\u00e9r. A, 5, 147\u2013151 (1946).","journal-title":"Univ. Nac. de Tucum\u00e1n Rev. S\u00e9r. A"},{"key":"735_CR2","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/0095-8956(77)90056-9","volume":"23","author":"R Brualdi","year":"1977","unstructured":"R. Brualdi, \u201cConvex polytopes of permutation invariant doubly stochastic matrices,\u201d J. Combin. Theory, 23, 58\u201367 (1977).","journal-title":"J. Combin. Theory"},{"key":"735_CR3","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/0095-8956(77)90010-7","volume":"22","author":"R Brualdi","year":"1977","unstructured":"R. Brualdi and P. Gibson, \u201cConvex polyhedra of doubly stochastic matrices, II. Graph of \u03a9 n ,\u201d J. Combin. Theory, 22, 175\u2013198 (1977).","journal-title":"J. Combin. Theory"},{"key":"735_CR4","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/0097-3165(77)90008-5","volume":"22","author":"R Brualdi","year":"1977","unstructured":"R. Brualdi and P. Gibson, \u201cConvex polyhedra of doubly stochastic matrices, III. Affine and combinatorial properties of \u03a9 n ,\u201d J. Combin. Theory, 22, 338\u2013351 (1977).","journal-title":"J. Combin. Theory"},{"key":"735_CR5","doi-asserted-by":"crossref","first-page":"1524","DOI":"10.1016\/j.laa.2007.09.028","volume":"428","author":"L Costa","year":"2008","unstructured":"L. Costa, C. M. da Fonseca, and E. A. Martins, \u201cThe diameter of the acyclic Birkhoff polytope,\u201d Linear Algebra Appl., 428, 1524\u20131537 (2008).","journal-title":"Linear Algebra Appl."},{"key":"735_CR6","doi-asserted-by":"crossref","first-page":"1216","DOI":"10.1016\/j.laa.2008.10.015","volume":"430","author":"L Costa","year":"2009","unstructured":"L. Costa, C. M. da Fonseca, and E. A. Martins, \u201cFace counting on acyclic Birkhoff polytope,\u201d Linear Algebra Appl., 430, 1216\u20131235 (2009).","journal-title":"Linear Algebra Appl."},{"issue":"6","key":"735_CR7","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1016\/j.laa.2009.10.030","volume":"432","author":"L Costa","year":"2010","unstructured":"L. Costa and E. A. Martins, \u201cFaces of faces of the tridiagonal Birkhoff polytope,\u201d Linear Algebra Appl., 432, No. 6, 1384\u20131404 (2010).","journal-title":"Linear Algebra Appl."},{"key":"735_CR8","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.laa.2004.04.017","volume":"390","author":"G Dahl","year":"2004","unstructured":"G. Dahl, \u201cTridiagonal doubly stochastic matrices,\u201d Linear Algebra Appl., 390, 197\u2013208 (2004).","journal-title":"Linear Algebra Appl."},{"issue":"7","key":"735_CR9","doi-asserted-by":"crossref","first-page":"1308","DOI":"10.1016\/j.disc.2007.03.077","volume":"308","author":"CM Fonseca da","year":"2008","unstructured":"C. M. da Fonseca and E. Marques de S\u00e1, \u201cFibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope,\u201d Discr. Math., 308, No. 7, 1308\u20131318 (2008).","journal-title":"Discr. Math."},{"key":"735_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-0163-9","volume-title":"Algebraic Graph Theory","author":"C Godsil","year":"2001","unstructured":"C. Godsil and G. Royle, Algebraic Graph Theory, Springer-Verlag, New York (2001)."},{"key":"735_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-0019-9","volume-title":"Convex Polytopes","author":"B Gr\u00fcnbaum","year":"2003","unstructured":"B. Gr\u00fcnbaum, Convex Polytopes, Springer-Verlag, New York (2003)."}],"container-title":["Journal of Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10958-012-0735-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10958-012-0735-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10958-012-0735-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T06:09:42Z","timestamp":1559455782000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10958-012-0735-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,17]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,4]]}},"alternative-id":["735"],"URL":"https:\/\/doi.org\/10.1007\/s10958-012-0735-1","relation":{},"ISSN":["1072-3374","1573-8795"],"issn-type":[{"value":"1072-3374","type":"print"},{"value":"1573-8795","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,17]]}}}