{ "id": "1810.12749", "version": "v1", "published": "2018-10-27T14:47:42.000Z", "updated": "2018-10-27T14:47:42.000Z", "title": "Density of roots of the Yamada polynomial of spatial graphs", "authors": [ "Miaowang Li", "Fengchun Lei", "Fengling Li", "Andrei Vesnin" ], "comment": "15 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1801.09075", "categories": [ "math.GT" ], "abstract": "We survey the construction and properties of the Yamada polynomial of spatial graphs and present the Yamada polynomial formulae for some classes of graphs. Then we construct an infinite family of spatial graphs for which roots of Yamada polynomials are dense in the complex plane.", "revisions": [ { "version": "v1", "updated": "2018-10-27T14:47:42.000Z" } ], "analyses": { "subjects": [ "57M15", "05C31" ], "keywords": [ "spatial graphs", "yamada polynomial formulae", "complex plane", "construction", "properties" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }