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Selected problems in enumerative combinatorics: permutation classes, random walks and planar maps
(2018)In this thesis we consider a number of enumerative combinatorial problems. We solve the problems of enumerating Eulerian orientations by edges and quartic Eulerian orientations counted by vertices. We also find and prove ... 
The isoperimetric problem in block designs
(2018)This thesis focuses on the problem of determining the isoperimetric numbers of Levi graphs of balanced incomplete block designs. We study two versions of this: the vertexisoperimetric number and the edgeisoperimetric ... 
Statistical models for the location of lightningcaused wildfire ignitions
(2018)Lightningcaused wildfire is a significant concern for fire management agencies worldwide. Unlike other ignition sources, lightning fires often occur in remote and inaccessible locations making detection and suppression ...