School of Mathematics and Statistics: Recent submissions
Now showing items 1-3 of 577
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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 ... -
Unsteady motion of small particles in fluid: from autonomous propulsion to the interrogation of liquid-solid interfaces
(2018)Fluid flows at micro- and nanometre length scales are governed by physical processes that are quite different to their macroscale counterparts. When these flows interact with suspended solid particles, a rich array of ... -
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 vertex-isoperimetric number and the edge-isoperimetric ...