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so from the random graph in order to first understand why the property of the preferential attachment in numerous aims we need to take a look at the distribution of the degree of the nodes the the degree of the node is the number of connections that that note have right for directed graph you may you may have the in degree distribution and how decree distribution for undirected graph you think about definition just to be just the connection so the degree of the node of the undirected graph will be the number of neighbor that it has and the distribution would looks like down here for this craft that is let me use this one laser pointer like for a a connect to actually its actually the gray distribution here is the has this value that the number of node actually is number of the reservation number of probability or of the over the degree probably of the degree over the entire network like the chance that youll find net the one condition in one connection one connection one two three f