Cyclic Sieving Phenomenon in Non-Crossing Connected Graphs

  • Alan Guo

Abstract

A non-crossing connected graph is a connected graph on vertices arranged in a circle such that its edges do not cross. The count for such graphs can be made naturally into a q-binomial generating function. We prove that this generating function exhibits the cyclic sieving phenomenon, as conjectured by S.-P. Eu.

Published
2011-01-05
Article Number
P9