{ "id": "1904.06696", "version": "v1", "published": "2019-04-14T14:09:35.000Z", "updated": "2019-04-14T14:09:35.000Z", "title": "On bipartite distance-regular Cayley graphs with diameter $3$", "authors": [ "Mojtaba Jazaeri" ], "categories": [ "math.CO" ], "abstract": "In this paper, we show that every bipartite distance-regular Cayley graph with diameter $3$ can be constructed on the semidirect product of a group and $\\mathbb{Z}_{2}$, except possibly for one case.", "revisions": [ { "version": "v1", "updated": "2019-04-14T14:09:35.000Z" } ], "analyses": { "keywords": [ "bipartite distance-regular cayley graph", "semidirect product" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }