Final answer:
Finding the maximum-bottleneck path from s to t in a flow network generally cannot be achieved in O(e log v) time due to the complexity of exploring paths, and specific algorithms for this task may have a more complex time complexity depending on the network characteristics.
This correct answer is b)
Step-by-step explanation:
The statement is false. Finding the maximum-bottleneck path from source s to target t in a flow network cannot be done in O(e log v) time using a general algorithm.
The reason is that finding a path with maximum bottleneck capacity requires exploring the paths in the network, and the number of paths to explore may not be bounded by a logarithmic factor of the number of edges or vertices.
The problem of finding the maximum-bottleneck path is a computationally challenging problem and typically involves more complex algorithms.
Algorithms for finding the maximum-bottleneck path often have a time complexity that depends on the specific characteristics of the network, and they might not achieve a time complexity of O(e log v) in the general case.
It's worth noting that the time complexity of algorithms depends on the problem constraints and the specific algorithm used.
For certain types of flow networks or specific scenarios, there might be algorithms that can achieve the desired time complexity, but in the general case, it's not feasible to guarantee O(e log v) time complexity for finding the maximum-bottleneck path in a flow network.
This correct answer is b)