{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,19]],"date-time":"2024-02-19T15:44:54Z","timestamp":1708357494651},"reference-count":4,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,10,5]],"date-time":"2006-10-05T00:00:00Z","timestamp":1160006400000},"content-version":"vor","delay-in-days":6243,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1989,9]]},"abstract":"Abstract<\/jats:title>It has been conjectured by C. van Nuffelen that the chromatic number of any graph with at least one edge does not exceed the rank of its adjacency matrix. We give a counterexample, with chromatic number 32 and with an adjacency matrix of rank 29.<\/jats:p>","DOI":"10.1002\/jgt.3190130413","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T12:20:18Z","timestamp":1180182018000},"page":"523-525","source":"Crossref","is-referenced-by-count":22,"title":["A counterexample to the rank\u2010coloring conjecture"],"prefix":"10.1002","volume":"13","author":[{"given":"N.","family":"Alon","sequence":"first","affiliation":[]},{"given":"P. D.","family":"Seymour","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,5]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"187","article-title":"On conjectures of Graffiti, II","volume":"60","author":"Fajtlowicz S.","year":"1987","journal-title":"Congressus Numeratium"},{"key":"e_1_2_1_3_2","volume-title":"Combinatorial Problems and Exercises","author":"Lov\u00e1sz L.","year":"1979"},{"key":"e_1_2_1_4_2","unstructured":"L.Lov\u00e1sz Communication complexity. Paths Flows and VLSI Design Proceedings of the Bonn Conference (1988) to appear."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2318218"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190130413","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190130413","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T14:03:43Z","timestamp":1697983423000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190130413"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,9]]},"references-count":4,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1989,9]]}},"alternative-id":["10.1002\/jgt.3190130413"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190130413","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,9]]}}}