{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T12:32:11Z","timestamp":1713184331874},"reference-count":14,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2016,6,20]],"date-time":"2016-06-20T00:00:00Z","timestamp":1466380800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[2017,6]]},"abstract":"Abstract<\/jats:title>Tutte's 5\u2010flow conjecture from 1954 states that every bridgeless graph has a nowhere\u2010zero 5\u2010flow. It suffices to prove the conjecture for cyclically 6\u2010edge\u2010connected cubic graphs. We prove that every cyclically 6\u2010edge\u2010connected cubic graph with oddness at most 4 has a nowhere\u2010zero 5\u2010flow. This implies that every minimum counterexample to the 5\u2010flow conjecture has oddness at least 6.<\/jats:p>","DOI":"10.1002\/jgt.22065","type":"journal-article","created":{"date-parts":[[2016,6,20]],"date-time":"2016-06-20T11:58:41Z","timestamp":1466423921000},"page":"363-371","source":"Crossref","is-referenced-by-count":4,"title":["Nowhere\u2010Zero 5\u2010Flows On Cubic Graphs with Oddness 4"],"prefix":"10.1002","volume":"85","author":[{"given":"Giuseppe","family":"Mazzuoccolo","sequence":"first","affiliation":[{"name":"DIPARTIMENTO DI INFORMATICA UNIVERSIT\u00c0 DEGLI STUDI DI VERONA VERONA ITALY"}]},{"given":"Eckhard","family":"Steffen","sequence":"additional","affiliation":[{"name":"INSTITUTE FOR MATHEMATICS, PADERBORN CENTER FOR ADVANCED STUDIES UNIVERSIT\u00c4T PADERBORN PADERBORN GERMANY"}]}],"member":"311","published-online":{"date-parts":[[2016,6,20]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1972-0294173-4"},{"key":"e_1_2_5_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2004.11.003"},{"key":"e_1_2_5_4_1","doi-asserted-by":"publisher","DOI":"10.1006\/jctb.1995.1029"},{"key":"e_1_2_5_5_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1976-0427156-5"},{"key":"e_1_2_5_6_1","first-page":"70","volume-title":"Topics in Graph Theory 3","author":"Jaeger F.","year":"1988"},{"key":"e_1_2_5_7_1","first-page":"305","volume-title":"Combinatorics 79, Annals of Discrete Mathematics","author":"Jaeger F.","year":"1980"},{"key":"e_1_2_5_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0095-8956(03)00080-7"},{"key":"e_1_2_5_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2009.12.001"},{"key":"e_1_2_5_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00493-014-2550-4"},{"key":"e_1_2_5_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392606"},{"key":"e_1_2_5_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(81)90058-7"},{"key":"e_1_2_5_13_1","first-page":"289","volume-title":"Handbook of Combinatorics","author":"Seymour P. D.","year":"1995"},{"key":"e_1_2_5_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2009.03.014"},{"key":"e_1_2_5_15_1","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1954-010-9"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.22065","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.22065","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.22065","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T03:41:18Z","timestamp":1696563678000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.22065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,20]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["10.1002\/jgt.22065"],"URL":"https:\/\/doi.org\/10.1002\/jgt.22065","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,20]]}}}