{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T17:21:25Z","timestamp":1776100885504,"version":"3.50.1"},"reference-count":7,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12571365"],"award-info":[{"award-number":["12571365"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1016\/j.dam.2026.02.053","type":"journal-article","created":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T08:39:09Z","timestamp":1773650349000},"page":"381-387","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["A nonplanar critical multigraph that achieves Goldberg\u2019s bound"],"prefix":"10.1016","volume":"386","author":[{"given":"Chunxiang","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9296-6870","authenticated-orcid":false,"given":"Shujing","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.dam.2026.02.053_b1","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1002\/jgt.22494","article-title":"Ring graphs and Goldberg\u2019s bound on chromatic index","volume":"93","author":"Cao","year":"2020","journal-title":"J. Graph Theorey"},{"key":"10.1016\/j.dam.2026.02.053_b2","series-title":"Proof of the Goldberg-Seymour conjecture on edge-colorings of multigraphs","author":"Chen","year":"2019"},{"key":"10.1016\/j.dam.2026.02.053_b3","first-page":"45","article-title":"Odd cycles of a multigraph with a large chromatic class","volume":"10","author":"Goldberg","year":"1972","journal-title":"Upr. Sist."},{"key":"10.1016\/j.dam.2026.02.053_b4","first-page":"3","article-title":"On multigraphs of almost maximal chromatic class (Russian)","volume":"23","author":"Goldberg","year":"1973","journal-title":"Discret. Anal."},{"key":"10.1016\/j.dam.2026.02.053_b5","series-title":"A Rational Approach to the Theory of Graphs","article-title":"Fractional graph theory","author":"Scheinerman","year":"1997"},{"issue":"3","key":"10.1016\/j.dam.2026.02.053_b6","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1112\/plms\/s3-38.3.423","article-title":"On multicolourings of cubic graphs, and conjectures of Fulkerson and Tutte","volume":"38","author":"Seymour","year":"1979","journal-title":"Proc. Lond. Math. Soc."},{"key":"10.1016\/j.dam.2026.02.053_b7","series-title":"Graph Edge Coloring: Vizing\u2019s Theorem and Goldberg\u2019s Conjecture","author":"Stiebitz","year":"2012"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X26001381?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X26001381?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T16:26:47Z","timestamp":1776097607000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X26001381"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6]]},"references-count":7,"alternative-id":["S0166218X26001381"],"URL":"https:\/\/doi.org\/10.1016\/j.dam.2026.02.053","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[2026,6]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A nonplanar critical multigraph that achieves Goldberg\u2019s bound","name":"articletitle","label":"Article Title"},{"value":"Discrete Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.dam.2026.02.053","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}