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math.CO2025
Inversions in Colored Permutations, Derangements, and Involutions
Moussa Ahmia, José L. Ramírez, Diego Villamizar
Arslan, Altoum, and Zaarour introduced an inversion statistic for generalized symmetric groups. In this work, we study the distribution of this statistic over colored permutations,…
math.CO2025
Enumeration of Colored Tilings on Graphs via Generating Functions
José L. Ramírez, Diego Villamizar
In this paper, we study the problem of partitioning a graph into connected and colored components called blocks. Using bivariate generating functions and combinatorial techniques,…