2016/05/28 by Dustin Hedmark, Hedmark, Dustin
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1605.08819
openalex publication_date 2016/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper introduces a colored generalization of the Eulerian polynomials, denoted the α-colored Eulerian polynomials. We first compute these polynomials by taking the h-vector of the α-colored permutohedron, a colored analog of the permutohedron which we develop. We also arrive at the α-colored Eulerian polynomials combinatorially by defining a new notion of descent for colored permutations.