{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:21:19Z","timestamp":1759335679884,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We obtain a new weak Hilton-Milner type result for intersecting families of $k$-spaces in $\\mathbb{F}_q^{2k}$, which improves several known results. In particular the chromatic number of the $q$-Kneser graph $qK_{n:k}$ was previously known for $n &gt; 2k$ (except for $n=2k+1$ and $q=2$) or $k &lt; q \\log q - q$. Our result determines the chromatic number of $qK_{2k:k}$ for $q \\geqslant 5$, so that the only remaining open cases are $(n, k) = (2k, k)$ with $q \\in \\{ 2, 3, 4 \\}$ and $(n, k) = (2k+1, k)$ with $q = 2$.<\/jats:p>","DOI":"10.37236\/7907","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:11:18Z","timestamp":1578640278000},"source":"Crossref","is-referenced-by-count":3,"title":["The Chromatic Number of the $q$-Kneser Graph for Large $q$"],"prefix":"10.37236","volume":"26","author":[{"given":"Ferdinand","family":"Ihringer","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,3,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p50\/7809","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p50\/7809","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:15:39Z","timestamp":1579234539000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i1p50"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1,11]]}},"URL":"https:\/\/doi.org\/10.37236\/7907","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,3,22]]},"article-number":"P1.50"}}