{ "id": "1910.06385", "version": "v1", "published": "2019-10-14T19:06:35.000Z", "updated": "2019-10-14T19:06:35.000Z", "title": "Decomposition of tripartite graphs into 5-cycles; A review and some more results", "authors": [ "Bahareh Kudarzi", "E. S. Mahmoodian", "Zahra Naghdabadi" ], "categories": [ "math.CO" ], "abstract": "The problem of decomposing a complete tripartite graph into 5-cycles was first proposed in 1995 by Mahmoodian and Mirzakhani and since then many attempts have been made to decompose such graphs into 5-cycles. Such attempts were partially successful but parts of the problem still remain open. In this paper we review previous works and present some new results.", "revisions": [ { "version": "v1", "updated": "2019-10-14T19:06:35.000Z" } ], "analyses": { "keywords": [ "decomposition", "complete tripartite graph", "remain open", "mahmoodian", "mirzakhani" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }