You have a single s-orbital nearest neighbor tight-binding Hamiltonian for the Kagome lattice. Solve the band problem. Note that Kagome has three atoms per cell, so your Hamiltonian will be 3x3. Plot the band structure from Gamma to M to K to Gamma (i.e., from [0,0,0] to [1/2,0,0], [2/3,2/3,0], [0,0,0]. Identify Dirac bands and flat bands.