• Mathematics
  • Published 2018

On Chromatic Quasisymmetric Functions of Directed Graphs

@inproceedings{Ellzey2018OnCQ,
  title={On Chromatic Quasisymmetric Functions of Directed Graphs},
  author={Brittney Ellzey},
  year={2018}
}
Chromatic quasisymmetric functions of labeled graphs were defined by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric functions. In this extended abstract, we consider an extension of their definition from labeled graphs to directed graphs, suggested by Richard Stanley. We obtain an F-basis expansion of the chromatic quasisymmetric functions of all digraphs and a p-basis expansion for all symmetric chromatic quasisymmetric functions of digraphs, extending work of Shareshian… CONTINUE READING

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