{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T07:28:54Z","timestamp":1777966134661,"version":"3.51.4"},"reference-count":21,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1981,1,1]],"date-time":"1981-01-01T00:00:00Z","timestamp":347155200000},"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":11885,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Theory, Series A"],"published-print":{"date-parts":[[1981,1]]},"DOI":"10.1016\/0097-3165(81)90041-8","type":"journal-article","created":{"date-parts":[[2005,2,10]],"date-time":"2005-02-10T04:49:18Z","timestamp":1108010958000},"page":"71-89","source":"Crossref","is-referenced-by-count":25,"title":["The Hillman-Grassl correspondence and the enumeration of reverse plane partitions"],"prefix":"10.1016","volume":"30","author":[{"given":"Emden R","family":"Gansner","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0097-3165(81)90041-8_BIB1","series-title":"Studies in Foundations and Combinatorics","article-title":"Plane partitions (I): the MacMahon conjecture","author":"Andrews","year":"1978"},{"key":"10.1016\/0097-3165(81)90041-8_BIB2","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/0097-3165(72)90007-6","article-title":"Enumeration of plane partitions","volume":"13","author":"Bender","year":"1972","journal-title":"J. Combinatorial Theory A"},{"key":"10.1016\/0097-3165(81)90041-8_BIB3","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0097-3165(74)90024-7","article-title":"Four correspondences between graphs and generalized Young tableaux","volume":"17","author":"Burge","year":"1974","journal-title":"J. Combinatorial Theory A"},{"key":"10.1016\/0097-3165(81)90041-8_BIB4","doi-asserted-by":"crossref","first-page":"316","DOI":"10.4153\/CJM-1954-030-1","article-title":"The hook graphs of the symmetric group","volume":"6","author":"Frame","year":"1954","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB5","article-title":"Matrix Correspondences and the Enumeration of Plane Partitions","author":"Gansner","year":"1978"},{"key":"10.1016\/0097-3165(81)90041-8_BIB6","doi-asserted-by":"crossref","unstructured":"E. R. Gansner, Matrix correspondences of plane partitions, Pacific J. Math., in press.","DOI":"10.2140\/pjm.1981.92.295"},{"key":"10.1016\/0097-3165(81)90041-8_BIB7","unstructured":"E. R. Gansner, The enumeration of plane partitions via the Burge correspondence, preprint."},{"key":"10.1016\/0097-3165(81)90041-8_BIB8","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/0097-3165(76)90065-0","article-title":"Reverse plane partitions and tableau hook numbers","volume":"21","author":"Hillman","year":"1976","journal-title":"J. Combinatorial Theory A"},{"key":"10.1016\/0097-3165(81)90041-8_BIB9","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0012-365X(79)90079-7","article-title":"Functions on tableau frames","volume":"25","author":"Hillman","year":"1979","journal-title":"Discrete Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB10","doi-asserted-by":"crossref","first-page":"709","DOI":"10.2140\/pjm.1970.34.709","article-title":"Permutations, matrices and generalized Young tableaux","volume":"34","author":"Knuth","year":"1970","journal-title":"Pacific J. Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB11","volume":"Vol. 3","author":"Knuth","year":"1973"},{"key":"10.1016\/0097-3165(81)90041-8_BIB12","volume":"Vol. 2","author":"MacMahon","year":"1916"},{"key":"10.1016\/0097-3165(81)90041-8_BIB13_1","doi-asserted-by":"crossref","first-page":"165","DOI":"10.4099\/jjm1924.17.0_165","article-title":"On some modular properties of irreducible representations of a symmetric group I, II","volume":"17","author":"Nakayama","year":"1940","journal-title":"Japan. J. Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB13_2","doi-asserted-by":"crossref","first-page":"411","DOI":"10.4099\/jjm1924.17.0_411","article-title":"On some modular properties of irreducible representations of a symmetric group I, II","volume":"17","author":"Nakayama","year":"1940","journal-title":"Japan. J. Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB14","first-page":"215","article-title":"On certain numerical coefficients associated with partitions","volume":"67","author":"Rutherford","year":"1966"},{"key":"10.1016\/0097-3165(81)90041-8_BIB15","article-title":"Partially Ordered Sets with Hooklengths\u2014An Algorithmic Approach","author":"Sagan","year":"1979"},{"key":"10.1016\/0097-3165(81)90041-8_BIB16","doi-asserted-by":"crossref","first-page":"179","DOI":"10.4153\/CJM-1961-015-3","article-title":"Longest increasing and decreasing subsequences","volume":"13","author":"Schensted","year":"1961","journal-title":"Canad. J. Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB17","article-title":"Ordered Structures and Partitions","author":"Stanley","year":"1971"},{"key":"10.1016\/0097-3165(81)90041-8_BIB18","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1002\/sapm1971503259","article-title":"Theory and applications of plane partitions II","volume":"50","author":"Stanley","year":"1971","journal-title":"Studies in Applied Math."},{"key":"10.1016\/0097-3165(81)90041-8_BIB19","doi-asserted-by":"crossref","DOI":"10.1090\/memo\/0119","article-title":"Ordered Structures and Partitions","author":"Stanley","year":"1972"},{"key":"10.1016\/0097-3165(81)90041-8_BIB20","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1307\/mmj\/1028989731","article-title":"A combinatorial problem","volume":"1","author":"Thrall","year":"1952","journal-title":"Mich. Math. J."}],"container-title":["Journal of Combinatorial Theory, Series A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316581900418?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0097316581900418?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,29]],"date-time":"2019-01-29T08:56:36Z","timestamp":1548752196000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0097316581900418"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,1]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1981,1]]}},"alternative-id":["0097316581900418"],"URL":"https:\/\/doi.org\/10.1016\/0097-3165(81)90041-8","relation":{},"ISSN":["0097-3165"],"issn-type":[{"value":"0097-3165","type":"print"}],"subject":[],"published":{"date-parts":[[1981,1]]}}}