Background Graph Mining Networks types: REGULAR RANDOM SMALL WORLD SCALE-FREE 1950s,Erdos 1998,Watts 1999,Barabasi and Renyi and Strogatz and Albert T
Networks types: REGULAR SMALL WORLD RANDOM SCALE-FREE T 1950s,Erdos and Renyi 1998,Watts and Strogatz 1999,Barabasi and Albert Background Graph Mining
Background Graph Mining Small world network: Six degree of separation The average distance between two randomly individuals in the USA:6 The average distance between two 10234④5⑤6（ randomly users in Facebook(721 million active users,69 billion links )4.74
Small world network: Six degree of separation ¾ The average distance between two randomly individuals in the USA : 6 ¾ The average distance between two randomly users in Facebook(721 million active users, 69 billion links ) : 4.74 ¾ … Background Graph Mining
Background Graph Mining Scale-Free networks: 100 10 10 10 10 10 10 degree Degree distribution 62 Social network A scale-free network is a network whose degree distribution follows a power law. That i is,the fraction P的 of nodes in the network DEBREE OF NODES having k connections to other nodes goes for large values of k as P(k)~kT,where r is a parameter Power law whose value is typically in the range(2,3)
Scale-Free networks: A scale-free network is a network whose degree distribution follows a power law. That is, the fraction P(k) of nodes in the network having k connections to other nodes goes for large values of k as ି, where is a parameter whose value is typically in the range (2,3). Social network Degree distribution Power law Background Graph Mining
Key Node ldentification
Key Node Identification
Key Node ldentification Graph Mining >How should we select some special customers to viral market efficiently if we have a limited budget? >Which countries have a huge impact on the global trade? >Who hold great power on the terrorist organization? >Which node is the weakest position in the power supply network? 丝绸之路 微哈拉沙流 4m千 来品 八千方勿之
¾ How should we select some special customers to viral market efficiently if we have a limited budget? ¾ Which countries have a huge impact on the global trade? ¾ Who hold great power on the terrorist organization? ¾ Which node is the weakest position in the power supply network? Background Key Node Identification Graph Mining