{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T10:14:20Z","timestamp":1775643260545,"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>We present 15 new partial difference sets over 4 non-abelian groups of  order 100 and 2 new strongly regular graphs with intransitive  automorphism groups. The strongly regular graphs and corresponding  partial difference sets have the following parameters: (100,22,0,6),  (100,36,14,12), (100,45,20,20), (100,44,18,20). The existence of  strongly regular graphs with the latter set of parameters was an open  question. Our method is based on combination of Galois correspondence  between permutation groups and association schemes, classical Seidel's  switching of edges and essential use of computer algebra packages. As  a by-product, a few new amorphic association schemes with 3 classes on  100 points are discovered.<\/jats:p>","DOI":"10.37236\/1710","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:29:17Z","timestamp":1578709757000},"source":"Crossref","is-referenced-by-count":20,"title":["Switching of Edges in Strongly Regular Graphs I: A Family of Partial Difference Sets on 100 Vertices"],"prefix":"10.37236","volume":"10","author":[{"given":"L. K.","family":"J\u00f8rgensen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Klin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2003,5,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v10i1r17\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v10i1r17\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:08:11Z","timestamp":1579324091000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v10i1r17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,5,3]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2003,1,6]]}},"URL":"https:\/\/doi.org\/10.37236\/1710","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,5,3]]},"article-number":"R17"}}