Question: For a flow network G = ( V, E ) with specified s, t 2 V and capacities c e > 0 for e E

For a flow network G = (V, E) with specified s, t 2 V and capacities c_e > 0 for e E, you are given a flow f (you are given f_efor every e E).

Note: For both parts, faster and correct is worth more credit. And if youre algorithm takes the same time as computing a max-flow from scratch then youll get 0 points.

Part (a): Explain an algorithm to verify/check whether or not f is a valid flow. Be sure to state and explain the running time of your algorithm.

Part (b): It is claimed that f is a maximum flow. Explain an algorithm to verify/check whether or not f is a maximum flow. Be sure to state and explain the running time of your algorithm.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

For a flow network G = (V, E) with specified s,t E V and capacities ce > 0 for e E, you are given a flow f (you are given fe for every eE E) Note: For both parts, faster and correct - is worth more...

(a) Given a flow network G = (V, E, s, t) with positive integer capacities Cuv, let d = min(u,v) EE Cuv. Either prove or disprove that the value of the maximum flow is an integer multiple of d. (b)...

For a flow network G = ( V, E ) with specified s, t in V and capacities c e > 0 for e in E , you are given a flow f (you are given f e for every e in E ). Note: For both parts, faster and correct is...

Please answer part b Question 1 (25 points) We are given a directed flow network G = (V, E), with positive integral capacities c(e) on edges e E E, a source s and a sink t. Recall that an s-t cut in...

PROBLEM 2 (30 points). In this exercise, we explore the effect of perturbations on the capacity of a single edge on the value of the maximum flow in a flow network with integral capacities. Consider...

PROBLEM 3 (35 points). In a particular network G (V, E) whose edges have integer capacities Ce, we have already found the maximum flow f from node s to node t. However, we now find out that one of...

Suppose that, in addition to edge capacities, a flow network has vertex capacities. That is each vertex v has a limit l(v) on how much flow can pass through v. Show how to transform a flow network G...

Please answer part c Question 1 (25 points) We are given a directed flow network G (V, E), with positive integral capacities c(e) on edges e e E, a source s and a sink t. Recall that an s-t cut in G...

Please write pseudocode or Python for a thumbs up! 2 Q2 In general, a flow network G = (V, E, s, t, c) with integer edge capacities may not have a unique min-cut. a) (2 points) Describe an example G...

Follow the directions of Problem 17, but revolve R about the line y = 4. In problem 17 Find the volume of the solid generated by revolving the region R bounded by the curves x = y and x = y3/32 about...

What happens to the efficiency of a heat engine when the temperature of the reservoir into which thermal energy is transferred is lowered?

What feature is unique to blockchain - based security tokens compared to traditional securities ? Question 2 3 Answer a . They incorporate smart contracts and can enforce regulatory requirements...

Which clause in a promissory note is NOT found in FHA or VA loans

analyse your own performance and set yourself objectives for the future.

3. Performance appraisals are intended to motivate employees towards greater productivity and improve communication/relations between managers and their team members. Explain why performance...

give examples of techniques used in the management of performance at work