Grothendieck ring class of Banana and Flower graphs
  We define a special type of hypersurface varieties inside $\mathbb{P}_k^{n-1}$ arising from connected planar graphs and then find their equivalence classes inside the Gr\"othendieck ring of projective varieties. Then we find a characterization for graphs in order to define irreducible hypersurfaces in general. 
Pedro Morales
math.AG