{ "id": "1501.02907", "version": "v1", "published": "2015-01-13T08:12:09.000Z", "updated": "2015-01-13T08:12:09.000Z", "title": "Some results in a new power graphs in finite groups", "authors": [ "S. H. Jafari" ], "comment": "To appear in Utilitas Mathematica", "categories": [ "math.GR" ], "abstract": "The power graph of a group is the graph whose vertex set is the set of non-trivial elements of group, two elements being adjacent if one is a power of the other. We define a new power graph and study on connectivity, diameter and clique number of this graphs.", "revisions": [ { "version": "v1", "updated": "2015-01-13T08:12:09.000Z" } ], "analyses": { "keywords": [ "power graph", "finite groups", "clique number", "non-trivial elements", "vertex set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150102907J" } } }