{ "id": "2201.10858", "version": "v1", "published": "2022-01-26T10:40:28.000Z", "updated": "2022-01-26T10:40:28.000Z", "title": "On Kirchhoff index and number of spanning trees of linear pentagonal cylinder and Mobius chain graph", "authors": [ "Md. Abdus Sahir", "Sk. Md. Abu Nayeem" ], "categories": [ "math.CO" ], "abstract": "In this paper, we derive closed-form formulas for Kirchhoff index and Wiener index of linear pentagonal cylinder graph and linear pentagonal Mobius chain graph. We also obtain explicit formulas for finding total number of spanning trees for both the graphs.", "revisions": [ { "version": "v1", "updated": "2022-01-26T10:40:28.000Z" } ], "analyses": { "subjects": [ "05C09" ], "keywords": [ "kirchhoff index", "spanning trees", "linear pentagonal mobius chain graph", "linear pentagonal cylinder graph" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }