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Theorem:<br />
F c(G) is monotonic, and submodular<br />
Proof:<br />
Single cascade c, some edge e=(r,s) of weight. w rs<br />
Show F c(G∪ {e}) – F c(G) ≥ F c(G’∪ {e}) – F C (G’)<br />
Let w .s be max weight in-edge of s in G<br />
Let w’ .s be max weight in-edge of s in G’<br />
Since G ⊆ G’ : w .s ≤ w’ .s and w rs= w’ rs
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