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math.CO2022
Acyclic Orientations and the Chromatic Polynomial of Signed Graphs
Jiyang Gao
We present a new correspondence between acyclic orientations and coloring of a signed graph (symmetric graph). Goodall et al. introduced a bivariate chromatic polynomial …
math.CO2022
Balanced shifted tableaux
Jiyang Gao, Shiliang Gao, Yibo Gao
We introduce balanced shifted tableaux, as an analogue of balanced tableaux of Edelman and Greene, from the perspective of root systems of type B and C. We show that they are equin…