{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T10:05:45Z","timestamp":1775729145124,"version":"3.50.1"},"reference-count":8,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2015,3,1]],"date-time":"2015-03-01T00:00:00Z","timestamp":1425168000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Operations Research Letters"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1016\/j.orl.2015.01.004","type":"journal-article","created":{"date-parts":[[2015,1,19]],"date-time":"2015-01-19T16:46:02Z","timestamp":1421685962000},"page":"161-164","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":5,"title":["Hidden vertices in extensions of polytopes"],"prefix":"10.1016","volume":"43","author":[{"given":"Kanstantsin","family":"Pashkovich","sequence":"first","affiliation":[]},{"given":"Stefan","family":"Weltge","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"4","key":"10.1016\/j.orl.2015.01.004_br000005","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1107\/S0567739473000963","article-title":"A complete catalogue of polyhedra with eight or fewer vertices","volume":"29","author":"Britton","year":"1973","journal-title":"Acta Crystallogr. Sect. A"},{"key":"10.1016\/j.orl.2015.01.004_br000010","series-title":"Tutorials on Emerging Methodologies and Applications in Operations Research (Chapter~2)","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/0-387-22827-6_2","article-title":"Polyhedral combinatorics","author":"Carr","year":"2005"},{"issue":"3","key":"10.1016\/j.orl.2015.01.004_br000015","doi-asserted-by":"crossref","first-page":"686","DOI":"10.1287\/moor.1090.0392","article-title":"Extended formulations for packing and partitioning orbitopes","volume":"34","author":"Faenza","year":"2009","journal-title":"Math. Oper. Res."},{"key":"10.1016\/j.orl.2015.01.004_br000020","doi-asserted-by":"crossref","unstructured":"Arnau Padrol, Julian Pfeifle, Polygons as slices of higher-dimensional polytopes, preprint, 2014, arXiv:1404.2443.","DOI":"10.37236\/4315"},{"key":"10.1016\/j.orl.2015.01.004_br000025","series-title":"Extended formulations for combinatorial polytopes","author":"Pashkovich","year":"2012"},{"key":"10.1016\/j.orl.2015.01.004_br000030","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/j.jcta.2013.10.004","article-title":"An upper bound for nonnegative rank","volume":"122","author":"Shitov","year":"2014","journal-title":"J. Combin. Theory Ser. A"},{"issue":"1","key":"10.1016\/j.orl.2015.01.004_br000035","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1002\/net.10010","article-title":"A linear-size zero\u2013one programming model for the minimum spanning tree problem in planar graphs","volume":"39","author":"Williams","year":"2002","journal-title":"Networks"},{"issue":"3","key":"10.1016\/j.orl.2015.01.004_br000040","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1016\/0022-0000(91)90024-Y","article-title":"Expressing combinatorial optimization problems by linear programs","volume":"43","author":"Yannakakis","year":"1991","journal-title":"J. Comput. System Sci."}],"container-title":["Operations Research Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167637715000115?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167637715000115?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,8,29]],"date-time":"2020-08-29T03:34:09Z","timestamp":1598672049000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167637715000115"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":8,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["S0167637715000115"],"URL":"https:\/\/doi.org\/10.1016\/j.orl.2015.01.004","relation":{},"ISSN":["0167-6377"],"issn-type":[{"value":"0167-6377","type":"print"}],"subject":[],"published":{"date-parts":[[2015,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Hidden vertices in extensions of polytopes","name":"articletitle","label":"Article Title"},{"value":"Operations Research Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.orl.2015.01.004","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2015 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}]}}