{ "id": "1110.1240", "version": "v1", "published": "2011-10-06T12:19:57.000Z", "updated": "2011-10-06T12:19:57.000Z", "title": "On Graphs with the Smallest Eigenvalue at Least $-1-\\sqrt{2}$, part II", "authors": [ "Tetsuji Taniguchi" ], "comment": "16 pages", "categories": [ "math.CO" ], "abstract": "This is a continuation of the article with the same title. In this paper, the family H is the same as in the previous paper \"On Graphs with the Smallest Eigenvalue at Least $-1-\\sqrt{2}$, part I\". The main result is that a minimal graph which is not an H -line graph, is just isomorphic to one of the 38 graphs found by computer.", "revisions": [ { "version": "v1", "updated": "2011-10-06T12:19:57.000Z" } ], "analyses": { "keywords": [ "smallest eigenvalue", "main result", "minimal graph", "line graph" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1110.1240T" } } }