3 papers
math.CO2025
Enumeration of Even Dimensional Partitions modulo 4
Aditya Khanna
The number of standard Young tableaux possible of shape corresponding to a partition is called the dimension of the partition and is denoted by . Partitions with odd dimen…
math.CO2025
Transition Matrices between Plethystic Bases of Polysymmetric Functions via Bijective Methods
Aditya Khanna
Many identities involving symmetric functions can be proved through bijective manipulations of tableaux. In this paper, we prove identities involving polysymmetric functions throug…
math.ST2022
Existence of maximum likelihood estimates in exponential random graph models
Henry Bayly, Aditya Khanna, Kathryn Lindsey
We present a streamlined proof of the foundational result in the theory of exponential random graph models (ERGMs) that the maximum likelihood estimate exists if and only if the ta…