2017/04/24 by Sami Assaf, Assaf, Sami
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Crystal structures of chemical compounds #Crystallography and molecular interactions #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1704.07039
openalex publication_date 2017/04/24 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
Dual equivalence graphs are a powerful tool in symmetric function theory that\nprovide a general framework for proving that a given quasisymmetric function is\nsymmetric and Schur positive. In this paper, we study a larger family of graphs\nthat includes dual equivalence graphs and define maps that, in certain cases,\ntransform graphs in this larger family into dual equivalence graphs. This\nallows us to broaden the applications of dual equivalence graphs and points the\nway toward a broader theory that could solve many important, long-standing\nSchur positivity problems.\n