{ "id": "1606.05898", "version": "v1", "published": "2016-06-19T18:40:19.000Z", "updated": "2016-06-19T18:40:19.000Z", "title": "A Switching for all Strongly Regular Collinearity Graphs From Polar Spaces", "authors": [ "Ferdinand Ihringer" ], "comment": "11 pages, submitted", "categories": [ "math.CO" ], "abstract": "We describe a general construction of strongly regular graphs from the collinearity graph of a finite classical polar spaces of rank at least $3$ over a finite field of order $q$. We show that these graphs are non-isomorphic to the collinearity graphs and have the same parameters. To our knowledge for most of these parameters these graphs are new as the collinearity graphs were the only known examples.", "revisions": [ { "version": "v1", "updated": "2016-06-19T18:40:19.000Z" } ], "analyses": { "subjects": [ "51E20", "05B25", "05C62", "05E30" ], "keywords": [ "strongly regular collinearity graphs", "finite classical polar spaces", "strongly regular graphs", "parameters", "general construction" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }