{ "id": "1608.01503", "version": "v1", "published": "2016-08-04T11:40:58.000Z", "updated": "2016-08-04T11:40:58.000Z", "title": "On the F-index and F-coindex of the line graphs of the subdivision graphs", "authors": [ "Ruhul Amin", "Sk. Md. Abu Nayeem" ], "comment": "12 pages, 10 figures", "categories": [ "math.CO", "cs.DM" ], "abstract": "The aim of this work is to investigate the F-index and F-coindex of the line graphs of the cycle graphs, star graphs, tadpole graphs, wheel graphs and ladder graphs using the subdivision concepts. F-index of the line graph of subdivision graph of square grid graph, 2D-lattice, nanotube and nanotorus of $TUC_{4}C_{8}[p, q]$ are also investigated here.", "revisions": [ { "version": "v1", "updated": "2016-08-04T11:40:58.000Z" } ], "analyses": { "subjects": [ "05C10" ], "keywords": [ "line graph", "subdivision graph", "square grid graph", "star graphs", "ladder graphs" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }