3 papers
math.CO2026
Chromatic symmetric functions of claw-free graphs are not Schur positive
Jacob P. Matherne, Alejandro H. Morales
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize chromatic polynomials of graphs. In 1995, Stanley introduced these sym…
math.CO2025
Generalized Pitman-Stanley polytope: vertices and faces
William T. Dugan, Maura Hegarty, Alejandro H. Morales +1
In 1999, Pitman and Stanley introduced the polytope bearing their name along with a study of its faces, lattice points, and volume. The Pitman-Stanley polytope is well-studied due…
math.CO2025
The Newton polytope and Lorentzian property of chromatic symmetric functions
Jacob P. Matherne, Alejandro H. Morales, Jesse Selover
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are related to Hessenberg varieties and d…