4 papers
Chromatic symmetric functions and polynomial invariants of trees
José Aliste-Prieto, Jeremy L. Martin, Jennifer D. Wagner +1
Stanley asked whether a tree is determined up to isomorphism by its chromatic symmetric function. We approach Stanley's problem by studying the relationship between the chromatic s…
On the Spectra of Simplicial Rook Graphs
Jeremy L. Martin, Jennifer D. Wagner
The \emph{simplicial rook graph} SR(d,n) is the graph whose vertices are the lattice points in the th dilate of the standard simplex in , with two vertices adjacen…
Updown numbers and the initial monomials of the slope variety
Jeremy L. Martin, Jennifer D. Wagner
Let be the ideal of all algebraic relations on the slopes of the lines formed by placing points in a plane and connecting each pair of points with a line.…
On distinguishing trees by their chromatic symmetric functions
Jeremy L. Martin, Matthew Morin, Jennifer D. Wagner
Let be an unrooted tree. The \emph{chromatic symmetric function} , introduced by Stanley, is a sum of monomial symmetric functions corresponding to proper colorings of …