{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,19]],"date-time":"2024-02-19T17:10:08Z","timestamp":1708362608490},"reference-count":7,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2013,4,10]],"date-time":"2013-04-10T00:00:00Z","timestamp":1365552000000},"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":[[2014,4]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In [2], on page 252 the following logical terminal inexactitude was made: \u201c...<jats:italic>the existence of a<\/jats:italic> <jats:italic>K<\/jats:italic><jats:sub>4<\/jats:sub> <jats:italic>is the only obstruction. That is, every finite<\/jats:italic> <jats:italic>K<\/jats:italic><jats:sub>4<\/jats:sub><jats:italic>\u2010free graph can be represented by odd\u2010distances in the plane<\/jats:italic>.\u201d In this note we correct this erroneous claim by showing that <jats:italic>W<\/jats:italic><jats:sub>5<\/jats:sub>, the 5\u2010wheel, see Figure 1, is not a subgraph of <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jgt21738-math-0001.png\" xlink:title=\"urn:x-wiley:03649024:media:jgt21738:jgt21738-math-0001\" \/>.<\/jats:p>","DOI":"10.1002\/jgt.21738","type":"journal-article","created":{"date-parts":[[2013,4,10]],"date-time":"2013-04-10T14:57:06Z","timestamp":1365605826000},"page":"323-330","source":"Crossref","is-referenced-by-count":4,"title":["Forbidden Subgraphs of the Odd\u2010Distance Graph"],"prefix":"10.1002","volume":"75","author":[{"given":"Moshe","family":"Rosenfeld","sequence":"first","affiliation":[{"name":"INSTITUTE OF TECHNOLOGY UNIVERSITY OF WASHINGTON  TACOMA WA USA"}]},{"given":"Nam L\u00ea","family":"Ti\u1ebfn","sequence":"additional","affiliation":[{"name":"K54 ADVANCED MATHEMATICS PROGRAM VNU UNIVERSITY OF SCIENCE  HANOI VIETNAM"}]}],"member":"311","published-online":{"date-parts":[[2013,4,10]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-009-9190-2"},{"key":"e_1_2_5_3_1","volume-title":"Research Problems in Discrete Geometry","author":"Brass P.","year":"2005"},{"key":"e_1_2_5_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-72905-8_13"},{"key":"e_1_2_5_5_1","doi-asserted-by":"publisher","DOI":"10.2307\/2318906"},{"key":"e_1_2_5_6_1","first-page":"156","article-title":"The maximum number of odd integral distances between points in the plane","volume":"16","author":"Piepemeyer L.","year":"1996","journal-title":"Discrete Comput Geom"},{"key":"e_1_2_5_7_1","first-page":"156","article-title":"Odd integral distances among points in the plane","volume":"5","author":"Rosenfeld M.","year":"1996","journal-title":"Geombinatorics"},{"key":"e_1_2_5_8_1","doi-asserted-by":"crossref","first-page":"#N12","DOI":"10.37236\/250","article-title":"On coloring the odd\u2010distance graph","volume":"16","author":"Steinhardt J.","year":"2009","journal-title":"Electron J Combin"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.21738","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.21738","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T12:28:03Z","timestamp":1696336083000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.21738"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,10]]},"references-count":7,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,4]]}},"alternative-id":["10.1002\/jgt.21738"],"URL":"https:\/\/doi.org\/10.1002\/jgt.21738","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4,10]]}}}