{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T11:31:08Z","timestamp":1770982268226,"version":"3.50.1"},"reference-count":33,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100006188","name":"Einstein Stiftung Berlin","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100006188","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Algebra Geometry"],"published-print":{"date-parts":[[2020,1]]},"DOI":"10.1137\/19m1275954","type":"journal-article","created":{"date-parts":[[2020,9,15]],"date-time":"2020-09-15T19:30:31Z","timestamp":1600198231000},"page":"422-440","source":"Crossref","is-referenced-by-count":12,"title":["The Distributions of Functions Related to Parametric Integer Optimization"],"prefix":"10.1137","volume":"4","author":[{"given":"Timm","family":"Oertel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph","family":"Paat","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Weismantel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2020,9,15]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1137\/14M0973694"},{"key":"atypb2","first-page":"40","author":"Aliev I.","year":"2020","journal-title":"Cham"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-011-9411-5"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-019-01392-1"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/17M1162792"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/16M1083876"},{"key":"atypb7","first-page":"339","author":"Alon N.","year":"2009","journal-title":"Berlin"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1287\/moor.24.3.728"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(77)90028-0"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(79)90147-X"},{"key":"atypb12","first-page":"151","volume":"510","author":"Bruns W.","year":"2004","journal-title":"J. Reine Angew. Math."},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1999.045"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2007.06.015"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(86)90064-X"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01582230"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1287\/moor.14.1.162"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2005.09.008"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1080.0320"},{"key":"atypb20","first-page":"808","author":"Eisenbrand F.","year":"2018","journal-title":"Philadelphia"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.53.2.260"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-016-1048-y"},{"key":"atypb24","first-page":"1","volume":"10","author":"Henk M.","year":"2015","journal-title":"Online J. Anal. Comb."},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1007\/s00493-007-2057-3"},{"key":"atypb27","first-page":"43","author":"Jansen K.","year":"2019","journal-title":"Wadern"},{"key":"atypb28","first-page":"312","author":"Karmarkar N.","year":"1982","journal-title":"New York"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1007\/BF01226481"},{"key":"atypb31","first-page":"341","author":"Oertel T.","year":"2019","journal-title":"Cham"},{"key":"atypb32","first-page":"338","author":"Paat J.","year":"2020","journal-title":"Cham"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1323-z"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1145\/322276.322287"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.4064\/aa152-1-7"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1109\/18.641542"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(81)90016-0"}],"container-title":["SIAM Journal on Applied Algebra and Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/19M1275954","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,30]],"date-time":"2020-09-30T19:19:09Z","timestamp":1601493549000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/19M1275954"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1]]},"references-count":33,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,1]]}},"alternative-id":["10.1137\/19M1275954"],"URL":"https:\/\/doi.org\/10.1137\/19m1275954","relation":{},"ISSN":["2470-6566"],"issn-type":[{"value":"2470-6566","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1]]}}}