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math.CO2024
Sign-balance of excedances over mod-k-alternating permutations and gamma-positivity
Hiranya Kishore Dey, Iswar Mahato
A permutation is called mod-k-alternating if its entries are restricted to having the same remainder as the index, modulo some integer In this paper, we find the sign-b…
math.CO2024
Unimodality and peak location of the characteristic polynomials of two distance matrices of trees
Rakesh Jana, Iswar Mahato, Sivaramakrishnan Sivasubramanian
Unimodality of the normalized coefficients of the characteristic polynomial of distance matrices of trees are known and bounds on the location of its peak (the largest coefficient)…