3 papers
stat.ME2018
Estimating Graphlet Statistics via Lifting
Kirill Paramonov, Dmitry Shemetov, James Sharpnack
Exploratory analysis over network data is often limited by the ability to efficiently calculate graph statistics, which can provide a model-free understanding of the macroscopic pr…
math.CO2017
Cores with distinct parts and bigraded Fibonacci numbers
Kirill Paramonov
The notion of -cores is closely related to rational Dyck paths due to Anderson's bijection, and thus the number of -cores is given by the Catalan number $C_…
math.CO2017
Crystal analysis of type Stanley symmetric functions
Graham Hawkes, Kirill Paramonov, Anne Schilling
Combining results of T.K. Lam and J. Stembridge, the type Stanley symmetric function , indexed by an element in the type Coxeter group, has a nonnega…