{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:00Z","timestamp":1753893840409,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $\\Pi$ be a polar space of type $\\textsf{D}_{n}$.\u00a0Denote by ${\\mathcal G}_{\\delta}(\\Pi)$, $\\delta\\in \\{+,-\\}$ the associated half-spin Grassmannians\u00a0and write $\\Gamma_{\\delta}(\\Pi)$ for the corresponding half-spin Grassmann graphs.\u00a0In the case when $n\\ge 4$ is even, the apartments of ${\\mathcal G}_{\\delta}(\\Pi)$\u00a0will be characterized as the images of isometric embeddings of \u00a0the half-cube graph $\\frac{1}{2}H_n$ in $\\Gamma_{\\delta}(\\Pi)$.\u00a0As an application,\u00a0we describe all isometric embeddings of $\\Gamma_{\\delta}(\\Pi)$\u00a0in the half-spin Grassmann graphs associated to a polar space of type $\\textsf{D}_{n'}$\u00a0under the assumption that $n\\ge 6$ is even.<\/jats:p>","DOI":"10.37236\/4107","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:54:27Z","timestamp":1578704067000},"source":"Crossref","is-referenced-by-count":1,"title":["Isometric Embeddings of Half-Cube Graphs in Half-Spin Grassmannians"],"prefix":"10.37236","volume":"21","author":[{"given":"Mark","family":"Pankov","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2014,10,2]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p4\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p4\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:43:57Z","timestamp":1579257837000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i4p4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,2]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2014,10,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4107","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2014,10,2]]},"article-number":"P4.4"}}