Let G be a connected graph with a cut {X, Y} with G[X] (the subgraph of...

 

Transcribed Image Text:

Let G be a connected graph with a cut {X, Y} with G[X] (the subgraph of G on the node set ) connected but G[Y] disconnected, with exactly two components G[Y1] and G[Y2]. Prove or disprove: (X,Y) is a min cut of G. Let G be a connected graph with a cut {X, Y} with G[X] (the subgraph of G on the node set ) connected but G[Y] disconnected, with exactly two components G[Y1] and G[Y2]. Prove or disprove: (X,Y) is a min cut of G.