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C - SNAP - Stanford University

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Given a cascade c, what is the most likely<br />

propagation tree?<br />

A maximum directed spanning tree<br />

Edge (i,j) in G has weight wc(i,j)=log Pc(i,j) The maximum weight spanning tree on<br />

infected nodes: Each node picks an in-edge of<br />

max weight:<br />

Local greedy selection gives optimal tree!<br />

12/6/2011 Jure Leskovec, <strong>Stanford</strong> CS224W: Social and Information Network Analysis, http://cs224w.stanford.edu<br />

a<br />

c<br />

e<br />

b<br />

d<br />

34

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