• Boxicity And Cubicity : A Study On Special Classes Of Graphs 

      Mathew, Rogers (2014-06-02)
      Let F be a family of sets. A graph G is an intersection graph of sets from the family F if there exists a mapping f : V (G)→ F such that, An interval graph is an intersection graph of a family of closed intervals on the ...
    • Boxicity, Cubicity And Vertex Cover 

      Shah, Chintan D (2010-09-28)
      The boxicity of a graph G, denoted as box(G), is the minimum dimension d for which each vertex of G can be mapped to a d-dimensional axis-parallel box in Rd such that two boxes intersect if and only if the corresponding ...
    • On Dimensional Parameters Of Graphs And Posets 

      Adiga, Abhijin (2013-06-21)
      In this thesis we study the following dimensional parameters : boxicity, cubicity, threshold dimension and poset dimension. While the first three parameters are defined on graphs, poset dimension is defined on partially ...
    • Rainbow Colouring and Some Dimensional Problems in Graph Theory 

      Rajendraprasad, Deepak (2018-04-05)
      This thesis touches three different topics in graph theory, namely, rainbow colouring, product dimension and boxicity. Rainbow colouring An edge colouring of a graph is called a rainbow colouring, if every pair of vertices ...