{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T06:20:13Z","timestamp":1773814813032,"version":"3.50.1"},"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>J.H. Koolen and J. Park proved a lower bound for the intersection number $c_2$ of a distance-regular graph $\\Gamma$. Moreover, they showed that a graph $\\Gamma$, for which equality is attained in this bound, is a Terwilliger graph. We prove that $\\Gamma$ is the icosahedron, the Doro graph or the Conway\u2013Smith graph if equality is attained and $c_2\\ge 2$.<\/jats:p>","DOI":"10.37236\/397","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:09:56Z","timestamp":1578715796000},"source":"Crossref","is-referenced-by-count":5,"title":["On the Koolen&amp;ndash;Park inequality  and Terwilliger graphs"],"prefix":"10.37236","volume":"17","author":[{"given":"Alexander L.","family":"Gavrilyuk","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,9,13]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r125\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r125\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:23:30Z","timestamp":1579303410000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r125"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9,13]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/397","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9,13]]},"article-number":"R125"}}