Now showing items 1-4 of 4

    • Generating Functions for Hyperbolic Plane Tessellations 

      Xie, Jiale (University of Waterloo, 2017-08-28)
      For a hyperbolic plane tessellation there is a generating function with respect to the distance. This generating function is the same as the growth function of a group of isometries of hyperbolic plane that acts regularly ...
    • Lattice Paths 

      Ali, Irha (University of Waterloo, 2022-08-24)
      This thesis is a survey of some of the well known results in lattice path theory. Chapter 1 looks into the history of lattice paths. That is, when it began and how it was popularized. Chapter 3 focuses on general lattices ...
    • Ordinary and Generalized Circulation Algebras for Regular Matroids 

      Olson-Harris, Nicholas (University of Waterloo, 2018-09-19)
      Let E be a finite set, and let R(E) denote the algebra of polynomials in indeterminates (x_e)_{e in E}, modulo the squares of these indeterminates. Subalgebras of R(E) generated by homogeneous elements of degree 1 have ...
    • Results on Chromatic Polynomials Inspired by a Correlation Inequality of G.E. Farr 

      McKay, Ghislain (University of Waterloo, 2018-09-25)
      In1993 Graham Farr gave a proof of a correlation inequality involving colourings of graphs. His work eventually led to a conjecture that number of colourings of a graph with certain properties gave a log-concave sequence. ...


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