MindStudy - MindStudy

Question:

Published on: 23 February, 2025

State the Max-flow min cut theorem for network flow analysis. Trace the execution of Ford-Fulkerson algorithm for finding the maximum flow in the graph.

Answer:

Max-flow min cut theorem for network flow analysis:

If f is a flow in a flow network G(V,E) with source s and sink t, then the following conditions are equivalent:

f is a maximum flow in G.

the residual network G_fcontains no augmenting paths.

lfl=C(S,T) for some cut (S,T) of G.

Subjects

Software Engineering Mobile computing Compiler Design Data Structures & Algorithm Design and Analysis of Algorithm Computer Graphics and Multimedia

Trending

Using greedy strategy, schedule the following jobs with deadline so as to maximize the profit.

23 February, 2025

Find the recurrence relation of binary search and derive the time complexity of binary search.

23 February, 2025

Write quick sort algorithm. Analyze the best case and worst case time complexities of your algorithm. Perform the PARTITION operation once(one time) on the following array as per the requirement of the quicksort algorithm, assuming the last element of the array to be the pivot element. Clearly mention the steps. Arr=[2,8,7,1,3,5,6,4].

23 February, 2025

Define classes P,NP,NP hard and NP-complete and also explain their relationship diagrammatically. What is nondeterministic algorithm? Explain with example. Define circuit satisfiability problem and prove that circuit SAT is in NP class.

23 February, 2025

Given weight vector {15,25,35,45,55} and the profit vector {10,20,30,40,50} and a knapsack of capacity 100, find atleast three feasible solutions including optimal one for the knapsack problem of 5 items.

23 February, 2025

What is Midpoint ellipse drawing algorithm ?