• 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 ...
    • Intersection Graphs Of Boxes And Cubes 

      Francis, Mathew C (2011-01-25)
      A graph Gis said to be an intersection graph of sets from a family of sets if there exists a function ƒ : V(G)→ such that for u,v V(G), (u,v) E(G) ƒ (u) ƒ (v) ≠ . Interval graphs are thus the intersection graphs ...