{ "id": "1607.03836", "version": "v1", "published": "2016-07-13T17:50:16.000Z", "updated": "2016-07-13T17:50:16.000Z", "title": "A Sufficient Condition for Graphic Lists with Given Largest and Smallest Entries, Length, and Sum", "authors": [ "Brian Cloteaux" ], "categories": [ "math.CO" ], "abstract": "We give a sufficient condition for a nonnegative integer list to be graphic based on its largest and smallest elements, length, and sum. This bound generalizes a result of Zverovich and Zverovich.", "revisions": [ { "version": "v1", "updated": "2016-07-13T17:50:16.000Z" } ], "analyses": { "keywords": [ "sufficient condition", "smallest entries", "graphic lists", "nonnegative integer list", "bound generalizes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }