{ "id": "1701.07330", "version": "v1", "published": "2017-01-25T14:22:48.000Z", "updated": "2017-01-25T14:22:48.000Z", "title": "Characteristic Polynomial of Certain Hyperplane Arrangements through Graph Theory", "authors": [ "Joungmin Song" ], "categories": [ "math.CO" ], "abstract": "We give a formula for computing the characteristic polynomial for certain hyperplane arrangements in terms of the number of bipartite graphs of given rank and cardinality.", "revisions": [ { "version": "v1", "updated": "2017-01-25T14:22:48.000Z" } ], "analyses": { "keywords": [ "hyperplane arrangements", "characteristic polynomial", "graph theory", "bipartite graphs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }