4 papers
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…
How large is the character degree sum compared to the character table sum for a finite group?
Arvind Ayyer, Hiranya Kishore Dey, Digjoy Paul
In 1961, Solomon gave upper and lower bounds for the sum of all the entries in the character table of a finite group in terms of elementary properties of the group. In a different…
Sharp lower bound on the "number of nodal decomposition" of graphs
Hiranya Kishore Dey, Soumyajit Saha
Urschel introduced a notion of nodal partitioning to prove an upper bound on the number of nodal decomposition of discrete Laplacian eigenvectors. The result is an analogue to the…
An exact upper bound for the sum of powers of element orders in non-cyclic finite groups
Hiranya Kishore Dey, Archita Mondal
For a finite group , let denote the sum of element orders of . This function was introduced by Amiri, Amiri, and Isaacs in 2009 and they proved that for any finite gro…