{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T23:27:27Z","timestamp":1768778847256,"version":"3.49.0"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Minkowski sums of simplices in\u00a0${\\mathbb{R}}^n$ form an interesting class of polytopes that seem to emerge in various situations. In this paper we discuss the Minkowski sum of the\u00a0\u00a0simplices $\\Delta_{k-1}$ in ${\\mathbb{R}}^n$ where $k$ and $n$ are fixed, their flags and some of their face lattice structure. In particular, we derive a closed formula for\u00a0their exponential generating flag function. These polytopes are simple, include both the simplex $\\Delta_{n-1}$ and the permutahedron $\\Pi_{n-1}$, and form a Minkowski basis for more general permutahedra.\u00a0<\/jats:p>","DOI":"10.37236\/6652","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:46:21Z","timestamp":1578671181000},"source":"Crossref","is-referenced-by-count":2,"title":["On a Special Class of Hyper-Permutahedra"],"prefix":"10.37236","volume":"24","author":[{"given":"Geir","family":"Agnarsson","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,9,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i3p46\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i3p46\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:46:30Z","timestamp":1579236390000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i3p46"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,8]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2017,7,14]]}},"URL":"https:\/\/doi.org\/10.37236\/6652","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9,8]]},"article-number":"P3.46"}}