Young, BenjaminJenne, Helen2020-09-242020-09-242020-09-24https://hdl.handle.net/1794/25669We prove that the partition function for tripartite double-dimer configurations of a planar bipartite graph satisfies a recurrence related to the Desnanot-Jacobi identity from linear algebra. A similar identity for the dimer partition function was established nearly 20 years ago by Kuo. This work was motivated in part by the potential for applications, including a problem in Donaldson-Thomas and Pandharipande-Thomas theory, which we will discuss. The proof of our recurrence requires generalizing work of Kenyon and Wilson; specifically, lifting their assumption that the nodes of the graph be black and odd or white and even.en-USAll Rights Reserved.dimer modeldouble-dimer modelElectronic Thesis or Dissertation