{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,18]],"date-time":"2026-10-18T01:29:22Z","timestamp":1792286962527,"version":"4.4.0"},"reference-count":23,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[1997,11]]},"abstract":"<jats:p>Multimatroids are combinatorial structures that generalize matroids and arise in the study of Eulerian graphs. We prove, by means of an efficient algorithm, a covering theorem for multimatroids. This theorem extends Edmonds' covering theorem for matroids. It also generalizes a theorem of Jackson on the Euler tours of a 4-regular graph.<\/jats:p>","DOI":"10.1137\/s0895480193242591","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"626-646","source":"Crossref","is-referenced-by-count":32,"title":["Multimatroids I. Coverings by Independent Sets"],"prefix":"10.1137","volume":"10","author":[{"given":"Andr\u00e9","family":"Bouchet","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,1]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1006\/jctb.1996.0017"},{"key":"R2","unstructured":"A. Bouchet,\n                      Multimatroid IV, Chain\u2010group representations\n                      , submitted."},{"key":"R3","unstructured":"A. Bouchet,\n                      Multimatroids II, Minors and connectivity\n                      , submitted."},{"key":"R4","unstructured":"A. Bouchet,\n                      Multimatroids III, Tightness, fundamental graphs, and pivotings\n                      , submitted."},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02604639"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/S0195-6698(87)80027-6"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(92)90272-C"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1006\/eujc.1993.1054"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(88)90101-X"},{"key":"R10","unstructured":"D. B\u00e9nard, A. Bouchet, and A. Duchamp,\n                      Tutte and Martin polynomials\n                      , submitted."},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(86)90104-0"},{"key":"R12","unstructured":"A. Duchamp,\n                      Etudes de quelques notions et propri\u00e9t\u00e9s relatives aux matro\u00ef des sym\u00e9triques: Axiomatiques, Extensions ponctuelles, Quotients, Repr\u00e9sentations\n                      , Ph.D. thesis, Universit\u00e9 du Maine, 1991."},{"key":"R13","unstructured":"A. Duchamp,\n                      private communication\n                      , 1993."},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.6028\/jres.069B.005"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(91)90054-N"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(91)90055-O"},{"key":"R17","unstructured":"A. Kotzig,\n                      private communication to B. Jackson\n                      ."},{"key":"R18","unstructured":"A.Kotzig, Eulerian lines in finite 4\u2010valent graphs and their transformations., Academic Press, New York, 1968, 219\u201323040:1298"},{"key":"R19","unstructured":"L.Lov\u00e1sz, The matroid matching problem, Colloq. Math. Soc. J\u00e1nos Bolyai, Vol. 25, North\u2010Holland, Amsterdam, 1981, 495\u201351784h:05033"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1016\/S0195-6698(13)80090-X"},{"key":"R21","unstructured":"C.Nash\u2010Williams, Acyclic detachments of graphs, Res. Notes in Math., Vol. 34, Pitman, Boston, Mass., 1979, 87\u20139781j:05078"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01589420"},{"key":"R23","first-page":"358","volume":"44","author":"Nieto J.","year":"1998","journal-title":"Rev. Mexicana F\u00eds."}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895480193242591","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:18:26Z","timestamp":1787318306000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0895480193242591"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,11]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1997,11]]}},"alternative-id":["10.1137\/S0895480193242591"],"URL":"https:\/\/doi.org\/10.1137\/s0895480193242591","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,11]]}}}