Distributions of Node Size Power law: P(k links) proportional to k-g for some positive gg is about 2.1 for the World Wide Web new nodes prefer to link to large nodes Modified power law with cutoff for networks with limited nodes human acquaintanceship network, limited capacity and life Exponential law: P(k links) proportional to a-k for some a > 1.0 e.g., neural network of C. elegans Irregular networks have small diameter with any of these laws