1 citations · 1 across the 6 of their papers we have counts for
8 papers
Principal specializations of the -chromatic symmetric function
Aram Bingham, Kyle Celano, Patricia Commins +3
We introduce the -chromatic symmetric function , a variant of Stanley's chromatic symmetric function in which the variable records the number of distinct…
Forgotten characters
Kyle Celano, Brendon Rhoades
A partial permutation of is a bijection between two subsets . Given a partial permutation of , let $a_g \in \mathbb{…
A new proof of an Eğecioğlu--Remmel inverse Kostka matrix problem via a Garsia--Milne involution involving Sym and NSym
Edward E. Allen, Kyle Celano, Sarah K. Mason
Eğecioğlu and Remmel provide a combinatorial proof (using special rim hook tableaux) that the product of the Kostka matrix and its inverse equals the identity matrix $…
An Erdős--Szekeres type result for words with repeats
Kyle Celano, Abigail Ollson, Niraj Velankar +1
We prove an Erdős--Szekeres type result for finite words over with repeated values. Specifically, we define a \emph{repeat} in a word to be an occurrence of a value wh…
Inversions in parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +3
In this paper, we obtain a q-exponential generating function for inversions on parking functions via symmetric function theory and also through a direct bijection to rooted labeled…
Statistics on -interval parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +4
The displacement of a car with respect to a parking function is the number of spots it must drive past its preferred spot in order to park. An -interval parking function is o…
The -positivity of the chromatic symmetric function for twinned paths and cycles
Esther Banaian, Kyle Celano, Megan Chang-Lee +7
The operation of twinning a graph at a vertex was introduced by Foley, Hoàng, and Merkel (2019), who conjectured that twinning preserves -positivity of the chromatic symmetric f…
Eulerian Polynomials for Digraphs
Kyle Celano, Nicholas Sieger, Sam Spiro
Given an -vertex digraph and a labeling , we say that an arc of is a descent of if . Foata and Zeilberger introduced a generating…