{ "id": "math/0409323", "version": "v1", "published": "2004-09-18T18:46:56.000Z", "updated": "2004-09-18T18:46:56.000Z", "title": "A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees", "authors": [ "Seunghyun Seo" ], "comment": "9 pages, 3 figures (use PSTricks)", "categories": [ "math.CO" ], "abstract": "In this paper, we give a simple combinatorial explanation of a formula of A. Postnikov relating bicolored rooted trees to bicolored binary trees. We also present generalized formulas for the number of labeled k-ary trees, rooted labeled trees, and labeled plane trees.", "revisions": [ { "version": "v1", "updated": "2004-09-18T18:46:56.000Z" } ], "analyses": { "subjects": [ "05A15", "05C05", "05C30" ], "keywords": [ "labeled trees", "postnikovs identity", "combinatorial proof", "generalized enumeration", "simple combinatorial explanation" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......9323S" } } }