{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T06:20:05Z","timestamp":1761805205709},"reference-count":16,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1995,5,1]],"date-time":"1995-05-01T00:00:00Z","timestamp":799286400000},"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":6652,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1995,5]]},"DOI":"10.1016\/0012-365x(94)00135-6","type":"journal-article","created":{"date-parts":[[2003,4,24]],"date-time":"2003-04-24T23:51:23Z","timestamp":1051228283000},"page":"257-271","source":"Crossref","is-referenced-by-count":16,"title":["Enumerative applications of a decomposition for graphs and digraphs"],"prefix":"10.1016","volume":"139","author":[{"given":"Ira M.","family":"Gessel","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(94)00135-6_BIB1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0095-8956(82)90059-4","article-title":"On external activity and inversions in trees","volume":"33","author":"Beissinger","year":"1982","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/0012-365X(94)00135-6_BIB2","series-title":"Algebraic Graph Theory","author":"Biggs","year":"1974"},{"key":"10.1016\/0012-365X(94)00135-6_BIB3","first-page":"226","article-title":"The homology and shellability of matroids and geometric lattices","volume":"Vol. 40","author":"Bj\u00f6rner","year":"1991"},{"key":"10.1016\/0012-365X(94)00135-6_BIB4","first-page":"123","article-title":"The Tutte polynomial and its applications","volume":"Vol. 40","author":"Brylawski","year":"1991"},{"key":"10.1016\/0012-365X(94)00135-6_BIB5","series-title":"La s\u00e9rie g\u00e9n\u00e9ratrice exponentielle dans les probl\u00e8mes d'\u00e9num\u00e9ration","author":"Foata","year":"1974"},{"key":"10.1016\/0012-365X(94)00135-6_BIB6","first-page":"455","article-title":"A noncommutative generalization and q-analog of the Lagrange inversion formula","volume":"257","author":"Gessel","year":"1980","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/0012-365X(94)00135-6_BIB7","unstructured":"I.M. Gessel and B.E. Sagan, The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions, preprint."},{"key":"10.1016\/0012-365X(94)00135-6_BIB8","doi-asserted-by":"crossref","unstructured":"I.M. Gessel, B.E. Sagan and Y.-N. Yeh, Enumeration of trees by inversions, J. Graph Theory, to be published.","DOI":"10.1002\/jgt.3190190402"},{"key":"10.1016\/0012-365X(94)00135-6_BIB9","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1016\/0097-3165(79)90108-0","article-title":"Depth-first search as a combinatorial correspondence","volume":"26","author":"Gessel","year":"1979","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/0012-365X(94)00135-6_BIB10","series-title":"Graphical Enumeration","author":"Harary","year":"1973"},{"key":"10.1016\/0012-365X(94)00135-6_BIB11","unstructured":"F. Jaeger, Personal communication."},{"key":"10.1016\/0012-365X(94)00135-6_BIB12","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/BF02107572","article-title":"Une famille du polyn\u00f4mes ayant plusieurs propri\u00e9t\u00e9s \u00e9num\u00e9ratives","volume":"11","author":"Kreweras","year":"1980","journal-title":"Period. Math. Hungar."},{"key":"10.1016\/0012-365X(94)00135-6_BIB13","first-page":"1","article-title":"Methoden der Anzahlbestimmung f\u00fcr einege Klassen von Graphen","volume":"26","author":"Leroux","year":"1988","journal-title":"Bayreuth. Math. Schr."},{"key":"10.1016\/0012-365X(94)00135-6_BIB14","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1090\/S0002-9904-1968-11888-9","article-title":"The inversion enumerator for labeled trees","volume":"74","author":"Mallows","year":"1968","journal-title":"Bull Amer. Math. Soc."},{"key":"10.1016\/0012-365X(94)00135-6_BIB15","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/S0195-6698(82)80037-1","article-title":"Nombres d'Euler et inversions dans les arbres","volume":"3","author":"Pansiot","year":"1982","journal-title":"European J. Combin."},{"key":"10.1016\/0012-365X(94)00135-6_BIB16","doi-asserted-by":"crossref","first-page":"80","DOI":"10.4153\/CJM-1954-010-9","article-title":"A contribution to the theory of chromatic polynomials","volume":"6","author":"Tutte","year":"1953","journal-title":"Canad. J. Math."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X94001356?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X94001356?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,14]],"date-time":"2019-04-14T13:56:51Z","timestamp":1555250211000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X94001356"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,5]]},"references-count":16,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1995,5]]}},"alternative-id":["0012365X94001356"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(94)00135-6","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1995,5]]}}}