2015/06/11 by Sami H. Assaf
Mathematics · #math.CO #msc:05E05 #msc:05A30 #msc:05E10
paper · pdf · doi:10.1017/fms.2015.15
24 pages, 27 figures, to appear in Forum of Mathematics, Sigma. arXiv admin note: substantial text overlap with arXiv:1005.3759
arxiv created 2015/06/11 · arxiv updated 2020/03/05
We make a systematic study of a new combinatorial construction called a dual equivalence graph. We axiomatize these graphs and prove that their generating functions are symmetric and Schur positive. This provides a universal method for establishing the symmetry and Schur positivity of quasisymmetric functions.