{ "id": "1604.06513", "version": "v1", "published": "2016-04-21T23:53:58.000Z", "updated": "2016-04-21T23:53:58.000Z", "title": "On the Ramsey Numbers of Trees with Small Diameter", "authors": [ "Patrick Bahls", "T. Scott Spencer" ], "comment": "The final publication is available at Springer via http://dx.doi.org/10.1007/s00373-011-1098-y", "doi": "10.1007/s00373-011-1098-y", "categories": [ "math.CO" ], "abstract": "We estimate the Ramsey number r(T) = r(T,T) for various trees T, obtaining a precise value for r(T) for a large number of trees of diameter 3. Furthermore we prove that all trees of diameter 3 are Ramsey unsaturated as defined by Balister, Lehel, and Schelp in their article \"Ramsey unsaturated and saturated graphs.\"", "revisions": [ { "version": "v1", "updated": "2016-04-21T23:53:58.000Z" } ], "analyses": { "keywords": [ "ramsey number", "small diameter", "large number", "precise value" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160406513B" } } }