47 citations · 322 across the 54 of their papers we have counts for
3 papers · 1 filter
Order Quasisymmetric Functions Distinguish Rooted Trees
Takahiro Hasebe, Shuhei Tsujie
Richard P. Stanley conjectured that finite trees can be distinguished by their chromatic symmetric functions. In this paper, we prove an analogous statement for posets: Finite root…
Euler characteristic reciprocity for chromatic, flow and order polynomials
Takahiro Hasebe, Toshinori Miyatani, Masahiko Yoshinaga
The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardinality of a finite set. An advantage of semialgebraic sets is that we can define "…
Relations between cumulants in noncommutative probability
Octavio Arizmendi, Takahiro Hasebe, Franz Lehner +1
We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely determi…