Problem 4: Compute the maximum flow from s to t and the minimum s-t cut in the following graph using the Ford and Fulkerson algorithm. 3 2 1 1 2 3 t

Q: 3. Find a maximum flow in the following flow network, where the number on each edge represents the…

A: find the maximum flow and minimum cut step by step   first check all path from s--->t and blocked…

Q: 12. Apply Dijkstra's algorithm to the following graph to find the shortest path (and its cost) from…

A: According to the information given:- We have to follow the Dijkstra's algorithm and find the…

Q: Find the maximum flow of graph K₁. a 5 b 8 8 a C Od c 10 10 14 15 12 16 d K₁ 12 t

A: Given graph contains, Set of vertices= {s, a, b, c, d, t} Source node is s and sink node is t. It…

Q: Suppose that you want to solve a maximum flow problem containing parallel arcs, but the maximum flow…

A: Maximum Flow ProblemMaximum flow problem is a problem that invloves finding a feasible flow through…

Q: Formulate the minimum cut problem for the graph of Problem 3 (from nodes s to t), using both [MCP 1]…

A: Explanation: The Minimum-cut between s-t Nodes is in a flow-network. An s-t cut inside a…

Q: Problem 3. 1) Formulate the maximum flow problem for the given graph (from nodes s to t), using both…

A: Maximum flow problem: ⦁ This problem identifies the maximum quantity that can be carried from the…

Q: Use the minimum cut algorithm to find the maximum flow of graph K₁ and find how many different cuts…

A: Answer: Min Cut : The smallest total weight of the edge removed would disconnect source from sink.…

Q: 1. Determine the distance and the shortest route from a to h using the Djikstra Algorithm for the…

A: The answer is

Q: ) Draw the residual graph for the flow shown in the figure 2) Add an augmenting path to achieve the…

A: Here is the step by step solution presented:-

Q: 6) Consider the graph at the right: a. (5 pts) Does it have an Euler circuit? b. (5 pts) Does it…

A:

Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.