• On the inducibility of rooted trees 

      Dossou-Olory, Audace Amen Vioutou (Stellenbosch : Stellenbosch University, 2018-12)
      ENGLISH ABSTRACT : The density of appearances of a fixed tree in a larger tree is examined for rooted trees without vertices of outdegree 1 (also known as topological trees). Given a topological tree S with k leaves and ...
    • A categorical approach to lattice-like structures 

      Hoefnagel, Michael Anton (Stellenbosch : Stellenbosch University, 2018-12)
      ENGLISH ABSTRACT : This thesis is a first step in a categorical approach to lattice-like structures. Its central notion, that of a majority category, relates to the category of lattices, in a similar way as Mal’tsev ...
    • Analysis of tree spectra 

      Dadedzi, Kenneth (Stellenbosch : Stellenbosch University, 2018-12)
      ENGLISH ABSTRACT : We study the set of eigenvalues (spectrum) of the adjacency matrix, Laplacian matrix and the distance matrix of trees. In particular, we focus on the distribution of eigenvalues in the spectra of large ...