{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T21:30:33Z","timestamp":1769722233172,"version":"3.49.0"},"reference-count":14,"publisher":"Elsevier BV","issue":"5","license":[{"start":{"date-parts":[[1992,9,1]],"date-time":"1992-09-01T00:00:00Z","timestamp":715305600000},"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":7624,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["European Journal of Combinatorics"],"published-print":{"date-parts":[[1992,9]]},"DOI":"10.1016\/s0195-6698(05)80015-0","type":"journal-article","created":{"date-parts":[[2005,7,6]],"date-time":"2005-07-06T17:15:31Z","timestamp":1120670131000},"page":"357-365","source":"Crossref","is-referenced-by-count":54,"title":["The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group"],"prefix":"10.1016","volume":"13","author":[{"given":"I.P.","family":"Goulden","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.M.","family":"Jackson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0195-6698(05)80015-0_bib1","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1137\/0601050","article-title":"Decomposing a permutation into two large cycles: an enumeration","volume":"1","author":"Bertram","year":"1980","journal-title":"SIAM J. Alg. Discr. Methods"},{"key":"10.1016\/S0195-6698(05)80015-0_bib2","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/0012-365X(80)90001-1","article-title":"Nombre de repr\u00e9sentations d'une permutation comme produit de deux cycles de longueurs donn\u00e9es","volume":"29","author":"Boccara","year":"1980","journal-title":"Discr. Math."},{"key":"10.1016\/S0195-6698(05)80015-0_bib3","series-title":"Combinatorial Enumeration","author":"Goulden","year":"1983"},{"key":"10.1016\/S0195-6698(05)80015-0_bib4","unstructured":"A. Goupil and F. B\u00e9dard, The lattice of conjugacy classes of the group (preprint)."},{"key":"10.1016\/S0195-6698(05)80015-0_bib5","series-title":"Graphical Enumeration","author":"Harary","year":"1973"},{"key":"10.1016\/S0195-6698(05)80015-0_bib6","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1090\/S0002-9947-1987-0869231-9","article-title":"Counting cycles in permutations by group characters, with an application to a combinatorial problem","volume":"299","author":"Jackson","year":"1987","journal-title":"Trans. AMS"},{"key":"10.1016\/S0195-6698(05)80015-0_bib7","first-page":"317","article-title":"Counting semi-regular permutations which are products of a full cycle and an involution","volume":"305","author":"Jackson","year":"1988","journal-title":"Trans. AMS"},{"key":"10.1016\/S0195-6698(05)80015-0_bib8","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/0097-3165(88)90062-3","article-title":"Some problems associated with products of conjugacy classes of the symmetric group","volume":"49","author":"Jackson","year":"1988","journal-title":"J. Combin. Theory, Ser. A"},{"key":"10.1016\/S0195-6698(05)80015-0_bib9","first-page":"343","article-title":"A character theoretic approach to embeddings of rooted maps in an orientable surface of given genus","volume":"322","author":"Jackson","year":"1990","journal-title":"Trans. AMS"},{"key":"10.1016\/S0195-6698(05)80015-0_bib10","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1090\/S0002-9947-1990-1012516-6","article-title":"Character theory and rooted maps on an orientable surface of given genus: face-coloured maps","volume":"322","author":"Jackson","year":"1990","journal-title":"Trans. AMS"},{"key":"10.1016\/S0195-6698(05)80015-0_bib11","first-page":"621","article-title":"Adjustments of an inverse matrix corresponding to changes in the elements of a given row or a given column of the original matrix","volume":"20","author":"Sherman","year":"1949","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0195-6698(05)80015-0_bib12","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0012-365X(81)90224-7","article-title":"Factorization of a permutation into n-cycles","volume":"37","author":"Stanley","year":"1981","journal-title":"Discr. Math."},{"key":"10.1016\/S0195-6698(05)80015-0_bib13","doi-asserted-by":"crossref","first-page":"272","DOI":"10.2307\/2312183","article-title":"The number of plane planted trees with a given partition","volume":"71","author":"Tutte","year":"1964","journal-title":"Am. Math. Monthly"},{"key":"10.1016\/S0195-6698(05)80015-0_bib14","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/0012-365X(79)90138-9","article-title":"How many ways can a permutation be factored into two n-cycles?","volume":"28","author":"Walkup","year":"1979","journal-title":"Discr. Math."}],"container-title":["European Journal of Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0195669805800150?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0195669805800150?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,24]],"date-time":"2019-01-24T15:24:53Z","timestamp":1548343493000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0195669805800150"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,9]]},"references-count":14,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1992,9]]}},"alternative-id":["S0195669805800150"],"URL":"https:\/\/doi.org\/10.1016\/s0195-6698(05)80015-0","relation":{},"ISSN":["0195-6698"],"issn-type":[{"value":"0195-6698","type":"print"}],"subject":[],"published":{"date-parts":[[1992,9]]}}}