{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T11:43:14Z","timestamp":1698147794920},"reference-count":8,"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":5513,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1991,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Dirac (1962) showed that the planar graphs with no prism minor are the graphs obtainable by 2\u2010sums from bonds, cycles, wheels and <jats:italic>K<\/jats:italic><jats:sub>5<\/jats:sub>&amp;&amp;num;92;<jats:italic>e<\/jats:italic>'s. We give a new characterization of these graphs in terms of an optimization problem defined on the cycle bases of a graph.<\/jats:p>","DOI":"10.1002\/jgt.3190150408","type":"journal-article","created":{"date-parts":[[2007,6,8]],"date-time":"2007-06-08T06:51:39Z","timestamp":1181285499000},"page":"431-441","source":"Crossref","is-referenced-by-count":1,"title":["The prism\u2010free planar graphs and their cycles bases"],"prefix":"10.1002","volume":"15","author":[{"given":"David","family":"Hartvigsen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Russell","family":"Mardon","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,5]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1976.0095"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1973.1083752"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-1963-019-5"},{"key":"e_1_2_1_5_2","unstructured":"D.HartvigsenandR.Mardon The all\u2010pairs min cut problem and the minimum cycle basis problem on planar graphs. Working paper (1990)."},{"key":"e_1_2_1_6_2","unstructured":"D.HartvigsenandR.Mardon When do short cycles generate the cycle space?Working paper (1990)."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1137\/0216026"},{"key":"e_1_2_1_8_2","unstructured":"R.Mardon Ph.D. thesis Kellogg Graduate School of Management Northwestern University (1990)."},{"key":"e_1_2_1_9_2","volume-title":"Matroid Theory","author":"Welsh D. J. A.","year":"1976"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190150408","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190150408","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T03:46:52Z","timestamp":1698032812000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190150408"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":8,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,9]]}},"alternative-id":["10.1002\/jgt.3190150408"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190150408","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}