I want to sketch connected graphs in ##\phi^4## theory that contribute to correlation functions involving up to six fields. In ##\phi^4##, the cases being are 0 point, 2 point, 4 point and 6 point correlation functions (odd ones don't exist). There are only a few diagrams altogether and I have put them in an attachment - was just wondering if I have all the contributions at tree level and at one loop? Including renormalized parameters in my lagrangian, I get feynman rules corresponding to counter terms which I have denoted by a circle and a cross inside. I understand that these terms will cancel the tadpole contributions. My integral representation for the tadpole contribution in the n=2 case is like ##\int d^4 k /k^2## in four space time dimensions and is UV divergent. Is it correct to say that this divergence is exactly cancelled by the mass counterterm? Thanks!