{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T13:30:22Z","timestamp":1768915822576,"version":"3.49.0"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,10,1]],"date-time":"2022-10-01T00:00:00Z","timestamp":1664582400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,10,1]],"date-time":"2022-10-01T00:00:00Z","timestamp":1664582400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1007\/s11083-022-09614-6","type":"journal-article","created":{"date-parts":[[2022,10,1]],"date-time":"2022-10-01T11:02:41Z","timestamp":1664622161000},"page":"311-325","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Polymatroids, Closure Operators and Lattices"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5852-0493","authenticated-orcid":false,"given":"William","family":"Gustafson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,10,1]]},"reference":[{"key":"9614_CR1","unstructured":"Edmonds, J.: Submodular functions, matroids, and certain polyhedra. In: Combinatorial Structures and Their Applications, vol. 38, pp 69\u201387. Gordon and Breach, Science Publishers, New York-London-Paris (1970)"},{"key":"9614_CR2","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/S0021-9800(68)80054-7","volume":"5","author":"D Higgs","year":"1968","unstructured":"Higgs, D.: Strong maps of geometries. J. Comb. Theory 5, 185\u2013191 (1968)","journal-title":"J. Comb. Theory"},{"key":"9614_CR3","first-page":"14","volume":"38","author":"H Crapo","year":"1967","unstructured":"Crapo, H.: Structure theory for geometric lattices. Rend. del Seminario Matematico della Universit\u00e0, di Padova 38, 14\u201322 (1967)","journal-title":"Rend. del Seminario Matematico della Universit\u00e0, di Padova"},{"key":"9614_CR4","volume-title":"On the Foundations of Combinatorial Theory: Combinatorial Geometries","author":"H Crapo","year":"1970","unstructured":"Crapo, H., Rota, G.-C.: On the Foundations of Combinatorial Theory: Combinatorial Geometries. The MIT Press, Cambridge (1970)"},{"key":"9614_CR5","unstructured":"Kung, J.: Critical problems. In: Bonin, J., J.O., Servatius, B. (eds.) Matroid Theory, pp 1\u2013128. The American Mathematical Society, Providence (1995)"},{"key":"9614_CR6","volume-title":"Algebraic Theory of Lattices","author":"P Crawley","year":"1973","unstructured":"Crawley, P., Dilworth, R.: Algebraic Theory of Lattices. Prentice Hall Inc., Englewood Cliffs (1973)"},{"key":"9614_CR7","unstructured":"Gustafson, W.: Lattice minors and Eulerian posets. Submitted, arXiv:2205.01200"},{"key":"9614_CR8","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1016\/j.aim.2018.09.014","volume":"338","author":"T Lam","year":"2018","unstructured":"Lam, T.: Electroid varieties and a compactification of the space of electrical networks. Adv. Math. 338, 549\u2013600 (2018)","journal-title":"Adv. Math."},{"key":"9614_CR9","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1016\/j.jcta.2015.04.004","volume":"135","author":"T Lam","year":"2015","unstructured":"Lam, T.: The uncrossing partial order on matchings is Eulerian. J. Comb. Theory Ser. A 135, 105\u2013111 (2015)","journal-title":"J. Comb. Theory Ser. A"},{"key":"9614_CR10","doi-asserted-by":"publisher","first-page":"102178","DOI":"10.1016\/j.aam.2021.102178","volume":"127","author":"P Hersh","year":"2021","unstructured":"Hersh, P., Kenyon, R.: Shellability of face posets of electrical networks and the CW poset property. Adv. Appl. Math. 127, 102178 (2021)","journal-title":"Adv. Appl. Math."}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-022-09614-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11083-022-09614-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-022-09614-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,15]],"date-time":"2023-07-15T10:05:55Z","timestamp":1689415555000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11083-022-09614-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,1]]},"references-count":10,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["9614"],"URL":"https:\/\/doi.org\/10.1007\/s11083-022-09614-6","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"value":"0167-8094","type":"print"},{"value":"1572-9273","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,10,1]]},"assertion":[{"value":"9 December 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 September 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 October 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}