Question 66
Let T be an MST of a connected graph. If all edge weights are distinct, which statement is true?
Distinct edge weights imply a unique MST.
Let T be an MST of a connected graph. If all edge weights are distinct, which statement is true?
Distinct edge weights imply a unique MST.
In a directed graph, contracting each strongly connected component produces a graph that is always:
The condensation graph of any directed graph is acyclic.
For a directed graph with E edges stored in adjacency lists, the transpose graph can be constructed in:
Reverse each adjacency-list edge once, while initializing the V vertices.
In a flow network, if an edge (u,v) carries flow f(u,v), its residual network contains a reverse edge (v,u) with residual capacity:
The reverse residual capacity equals the current flow, representing the ability to cancel that flow.
If a flow f is feasible and an s-t cut has capacity equal to |f|, then f is:
By the max-flow min-cut theorem, equality between a feasible flow value and a cut capacity certifies optimality.