Now showing items 1-2 of 2

    • MacLane's Theorem for Graph-Like Spaces 

      Rooney, Brendan (University of Waterloo, 2008-09-12)
      The cycle space of a finite graph is the subspace of the edge space generated by the edge sets of cycles, and is a well-studied object in graph theory. Recently progress has been made towards extending the theory of cycle ...
    • Spectral Aspects of Cocliques in Graphs 

      Rooney, Brendan (University of Waterloo, 2014-05-01)
      This thesis considers spectral approaches to finding maximum cocliques in graphs. We focus on the relation between the eigenspaces of a graph and the size and location of its maximum cocliques. Our main result concerns ...


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