Lollipop and Lariat Symmetric Functions

نویسندگان

  • SAMANTHA DAHLBERG
  • STEPHANIE VAN WILLIGENBURG
چکیده

We compute an explicit e-positive formula for the chromatic symmetric function of a 3 lollipop graph, Lm,n. From here we deduce that there exist countably infinite distinct e-positive, and 4 hence Schur-positive, bases of the algebra of symmetric functions whose generators are chromatic 5 symmetric functions. Finally, we resolve 6 conjectures on the chromatic symmetric function of a 6 lariat graph, Ln+3. 7

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تاریخ انتشار 2017