{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:05Z","timestamp":1753893845463,"version":"3.41.2"},"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>Let $\\Gamma_{n,q}$ be the point-hyperplane incidence graph of the projective space $\\operatorname{PG}(n,q)$, where $n \\ge 2$ is an integer and $q$ a prime power. We determine the order of magnitude of $1-i_V(\\Gamma_{n,q})$, where $i_V(\\Gamma_{n,q})$ is the vertex-isoperimetric number of $\\Gamma_{n,q}$. We also obtain the exact values of $i_V(\\Gamma_{2,q})$ and the related incidence-free number of $\\Gamma_{2,q}$ for $q \\le 16$.<\/jats:p>","DOI":"10.37236\/6980","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:16:24Z","timestamp":1578669384000},"source":"Crossref","is-referenced-by-count":1,"title":["The Isoperimetric Number of the Incidence Graph of $PG(n,q)$"],"prefix":"10.37236","volume":"25","author":[{"given":"Andrew","family":"Elvey Price","sequence":"first","affiliation":[]},{"given":"Muhammad Adib","family":"Surani","sequence":"additional","affiliation":[]},{"given":"Sanming","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,8,10]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i3p20\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i3p20\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:29:53Z","timestamp":1579235393000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i3p20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,10]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2018,7,12]]}},"URL":"https:\/\/doi.org\/10.37236\/6980","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2018,8,10]]},"article-number":"P3.20"}}