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math.CO2026
The combinatorial Hopf algebra of signed graphs
Jean-Christophe Aval, Raquel Melgar
The theory of combinatorial Hopf algebras (CHA) is a powerful framework for studying algebraic invariants of combinatorial objects. For instance, Stanley's chromatic symmetric func…
math.CO2025
Chromatic quasisymmetric functions for signed graphs
Jean-Christophe Aval, Raquel Melgar
In 1995, Stanley introduced the chromatic symmetric function of a graph, which specializes to its chromatic polynomial, and which has been the focus of intense research. In 2017, S…