This is an undergraduate Advanced Algorithms class. Stick to the undergraduate topics and only do what is said in the assignment sheet. I will attach an assignment pdf with the question solve those...

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This is an undergraduate Advanced Algorithms class. Stick to the undergraduate topics and only do what is said in the assignment sheet. I will attach an assignment pdf with the question solve those step by step and DONTOT COPY FROM INTERNET SOURCES SUCH AS CHEGG, COURSEHERO. I also have subscription and access to solution on those websites I want a 100% plagiarism free solution. I want the solution to have step by step and clear explanation to each question. I want solutions typed clearly on a document. Donot cut down on explanation.
Answered 4 days AfterApr 07, 2022

Solution

Sathishkumar answered on Apr 12 2022
10 Votes
Q1:
Q2:
Answer:
This maximum flow problem is about finding, whether both the children of professor Adam can go to the same school or not.
· Vertex is on every corner in the town. Edges are each road connecting two cities(u,v),so the possible ways are u->v and v->u.
· Edge capacity=1
· Source: Professor house
· Sink: School
· So it has only two flows. So that both children of professor Adam can go to the same school otherwise not.
Q3:
Q4:
The solution is fairly straightforward. First, you find the maximum flow. Then you could get the minimum cut of the network. We also know that you saturate one edge on the minimum cut each time. Thus, the upper bound is simply |E|.
Q5:
The graph is divided into two subsets. The bipartite graph has a perfect matching. Because...
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