{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T13:42:55Z","timestamp":1698068575224},"reference-count":8,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,10,4]],"date-time":"2006-10-04T00:00:00Z","timestamp":1159920000000},"content-version":"vor","delay-in-days":6973,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1987,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We improve an upper bound for the chromatic index of a multigraph due to Andersen and Gol'dberg. As a corollary we deduce that if no two edges of multiplicity at least two in <jats:italic>G<\/jats:italic> are adjacent, then \u03c7\u2032(<jats:italic>G<\/jats:italic>) \u2a7d \u0394(<jats:italic>G<\/jats:italic>) + 1. In addition we generalize results concerning the structure of critical graphs due to Vizing and to Chetwynd and Hilton.<\/jats:p>","DOI":"10.1002\/jgt.3190110302","type":"journal-article","created":{"date-parts":[[2007,6,9]],"date-time":"2007-06-09T05:26:44Z","timestamp":1181366804000},"page":"267-272","source":"Crossref","is-referenced-by-count":3,"title":["A note concerning the chromatic index of multigraphs"],"prefix":"10.1002","volume":"11","author":[{"given":"A. J. W.","family":"Hilton","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bill","family":"Jackson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,4]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-11685"},{"key":"e_1_2_1_3_2","unstructured":"A. G.ChetwyndandA. J. W.Hilton Critical star multigraphs submitted."},{"key":"e_1_2_1_4_2","first-page":"3","article-title":"On multigraphs with almost maximal chromatic class (in Russian)","volume":"23","author":"Gol'dberg M. K.","year":"1973","journal-title":"Diskret. Analiz"},{"key":"e_1_2_1_5_2","first-page":"128","article-title":"Remark on the chromatic class of a multigraph (in Russian)","volume":"5","author":"Gol'dberg M. K.","year":"1974","journal-title":"Vy\u010disl. Mat. i Vy\u010disl. Tehn. (Kharkov)"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190080115"},{"key":"e_1_2_1_7_2","first-page":"277","article-title":"An improved upper bound for the chromatic index of a multigraph","volume":"3","author":"Hilton A. J. W.","year":"1977","journal-title":"Ars. Comb."},{"key":"e_1_2_1_8_2","first-page":"25","article-title":"On an estimate of the chromatic class of a p\u2010graph (in Russian)","volume":"3","author":"Vizing V. G.","year":"1964","journal-title":"Diskret. Analiz"},{"key":"e_1_2_1_9_2","first-page":"9","article-title":"Critical graphs with a given chromatic class (in Russian)","volume":"5","author":"Vizing V. G.","year":"1965","journal-title":"Diskret. Analiz"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190110302","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190110302","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T18:28:01Z","timestamp":1697999281000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190110302"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,9]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1987,9]]}},"alternative-id":["10.1002\/jgt.3190110302"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190110302","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,9]]}}}