Browsing Mathematics (Faculty of) by Supervisor "Wagner, David"
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Generating Functions for Hyperbolic Plane Tessellations
(University of Waterloo, 20170828)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
(University of Waterloo, 20220824)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
(University of Waterloo, 20180919)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
(University of Waterloo, 20180925)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 logconcave sequence. ...