{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T21:50:59Z","timestamp":1775512259802,"version":"3.50.1"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,11,4]],"date-time":"2019-11-04T00:00:00Z","timestamp":1572825600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,11,4]],"date-time":"2019-11-04T00:00:00Z","timestamp":1572825600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-1600609"],"award-info":[{"award-number":["DMS-1600609"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DGE-1247392"],"award-info":[{"award-number":["DGE-1247392"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["1855610"],"award-info":[{"award-number":["1855610"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s00454-019-00146-2","type":"journal-article","created":{"date-parts":[[2019,11,4]],"date-time":"2019-11-04T18:03:08Z","timestamp":1572890588000},"page":"618-635","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Equivariant Volumes of the Permutahedron"],"prefix":"10.1007","volume":"65","author":[{"given":"Federico","family":"Ardila","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anna","family":"Schindler","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e9s R.","family":"Vindas-Mel\u00e9ndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,11,4]]},"reference":[{"key":"146_CR1","first-page":"3","volume-title":"Handbook of Enumerative Combinatorics. Discrete Mathematics and Its Applications (Boca Raton)","author":"F Ardila","year":"2015","unstructured":"Ardila, F.: Algebraic and geometric methods in enumerative combinatorics. In: B\u00f3na, M. (ed.) Handbook of Enumerative Combinatorics. Discrete Mathematics and Its Applications (Boca Raton), pp. 3\u2013172. CRC Press, Boca Raton (2015)"},{"key":"146_CR2","first-page":"111","volume":"57","author":"CW Borchardt","year":"1860","unstructured":"Borchardt, C.W.: Ueber eine der interpolation entsprechende Darstellung der Eliminations-Resultante. J. Reine Angew. Math. 57, 111\u2013121 (1860)","journal-title":"J. Reine Angew. Math."},{"key":"146_CR3","first-page":"376","volume":"23","author":"A Cayley","year":"1889","unstructured":"Cayley, A.: A theorem on trees. Quarterly J. Math. 23, 376\u2013378 (1889)","journal-title":"Quarterly J. Math."},{"issue":"7","key":"146_CR4","doi-asserted-by":"publisher","first-page":"1479","DOI":"10.1016\/j.ejc.2012.02.006","volume":"33","author":"M D\u2019Adderio","year":"2012","unstructured":"D\u2019Adderio, M., Moci, L.: Ehrhart polynomial and arithmetic Tutte polynomial. Eur. J. Comb. 33(7), 1479\u20131483 (2012)","journal-title":"Eur. J. Comb."},{"key":"146_CR5","doi-asserted-by":"crossref","unstructured":"Gelfand, I.M., Kapranov, M.M., Zelevinsky, A.V.: Discriminants, Resultants and Multidimensional Determinants. Modern Birkh\u00e4user Classics. Reprint of the 1994 edn. Birkh\u00e4user, Boston (2008)","DOI":"10.1007\/978-0-8176-4771-1"},{"key":"146_CR6","doi-asserted-by":"crossref","unstructured":"Gr\u00fcnbaum, B.: Convex Polytopes. Graduate Texts in Mathematics, vol. 221, 2nd edn. Springer, New York (2003). (Prepared and with a preface by Volker Kaibel, Victor Klee and G\u00fcnter M. Ziegler)","DOI":"10.1007\/978-1-4613-0019-9"},{"key":"146_CR7","doi-asserted-by":"crossref","first-page":"113","DOI":"10.4171\/dm\/119","volume":"7","author":"V Reiner","year":"2002","unstructured":"Reiner, V.: Equivariant fiber polytopes. Doc. Math. 7, 113\u2013132 (2002)","journal-title":"Doc. Math."},{"key":"146_CR8","doi-asserted-by":"crossref","unstructured":"Sagan, B.E.: The Symmetric Group. Graduate Texts in Mathematics, vol. 203, 2nd edn. Springer, New York (2001)","DOI":"10.1007\/978-1-4757-6804-6"},{"key":"146_CR9","unstructured":"Schindler, A.: Algebraic and combinatorial aspects of two symmetric polytopes. Master\u2019s thesis, San Francisco State University (2017)"},{"issue":"3","key":"146_CR10","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1016\/0095-8956(80)90075-1","volume":"28","author":"PD Seymour","year":"1980","unstructured":"Seymour, P.D.: Decomposition of regular matroids. J. Comb. Theory Ser. B 28(3), 305\u2013359 (1980)","journal-title":"J. Comb. Theory Ser. B"},{"key":"146_CR11","series-title":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1090\/dimacs\/004\/42","volume-title":"Applied Geometry and Discrete Mathematics","author":"RP Stanley","year":"1991","unstructured":"Stanley, R.P.: A zonotope associated with graphical degree sequences. In: Gritzmann, P., Sturmfels, B. (eds.) Applied Geometry and Discrete Mathematics. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 4, pp. 555\u2013570. American Mathematical Society, Providence (1991)"},{"key":"146_CR12","unstructured":"Stanley, R.P.: Enumerative Combinatorics. Vol. II. Cambridge Studies in Advanced Mathematics, vol.\u00a062. Cambridge University Press, Cambridge (1999). (With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin)"},{"issue":"4","key":"146_CR13","doi-asserted-by":"publisher","first-page":"3622","DOI":"10.1016\/j.aim.2010.10.019","volume":"226","author":"A Stapledon","year":"2011","unstructured":"Stapledon, A.: Equivariant Ehrhart theory. Adv. Math. 226(4), 3622\u20133654 (2011)","journal-title":"Adv. Math."},{"key":"146_CR14","doi-asserted-by":"crossref","unstructured":"Sturmfels, B.: Gr\u00f6bner Bases and Convex Polytopes. University Lecture Series, vol.\u00a08. American Mathematical Society, Providence (1996)","DOI":"10.1090\/ulect\/008"},{"key":"146_CR15","unstructured":"Vindas\u00a0Mel\u00e9ndez, A.R.: Two problems on lattice point enumeration of rational polytopes. Master\u2019s thesis, San Francisco State University (2017)"},{"key":"146_CR16","doi-asserted-by":"crossref","unstructured":"Ziegler, G.M.: Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer, New York (1995)","DOI":"10.1007\/978-1-4613-8431-1"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-019-00146-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-019-00146-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-019-00146-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,22]],"date-time":"2023-09-22T13:25:08Z","timestamp":1695389108000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-019-00146-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,4]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["146"],"URL":"https:\/\/doi.org\/10.1007\/s00454-019-00146-2","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,4]]},"assertion":[{"value":"26 July 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 September 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 October 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 November 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}