Friend's Party Circle: There are a few friends living in the same area. They have a party every weekend and the place of party change each week. It is always a difficult task to select a place which is nearest for everyone. They all decided to take advantage of Computer Science to solve this problem. Names of friends are Ahmed, Rehman. Careem, Basit, Dawood, Ghani, and Earid. Ahmed lives at 5 minutes' walk from rehman and at 10 minutes' walk from Careem. Careem lives at 3 minutes' walk from Dawood. Rehman lives at 4 minutes' walk from Basit and 2 minutes' walk from Dawood. Dawood lives at two minutes' walk from Farid. Ghani lives at 2 minutes' walk from Basit. a. If we represent a graph G = V (V, E) in which set of vertices are home of each Friend and an edge represents a path between two homes. Provide the adjacency matrix of directed graph of the graph G. b. In above directed graph G. You are required to devise an algorithm to find all possible paths.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
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Friend's Party Circle:
There are a few friends living in the same area. They have a party every weekend and the place of
party change each week. It is always a difficult task to select a place which is nearest for everyone.
They all decided to take advantage of Computer Science to solve this problem.
Names of friends are Ahmed, Rehman. Careem. Basit. Dawood. Ghani, and Farid. Ahmed lives at
5 minutes' walk from rehman and at 10 minutes' walk from Careem. Careem lives at 3 minutes'
walk from Dawood. Rehman lives at 4 minutes' walk from Basit and 2 minutes' walk from Dawood.
Dawood lives at two minutes' walk from Farid. Ghani lives at 2 minutes' walk from Basit.
a. If we represent a graph G = V (V, E) in which set of vertices are home of each Friend and
an edge represents a path between two homes. Provide the adjacency matrix of directed
graph of the graph G.
b. In above directed graph G. You are required to devise an algorithm to find all possible
paths.
Transcribed Image Text:Friend's Party Circle: There are a few friends living in the same area. They have a party every weekend and the place of party change each week. It is always a difficult task to select a place which is nearest for everyone. They all decided to take advantage of Computer Science to solve this problem. Names of friends are Ahmed, Rehman. Careem. Basit. Dawood. Ghani, and Farid. Ahmed lives at 5 minutes' walk from rehman and at 10 minutes' walk from Careem. Careem lives at 3 minutes' walk from Dawood. Rehman lives at 4 minutes' walk from Basit and 2 minutes' walk from Dawood. Dawood lives at two minutes' walk from Farid. Ghani lives at 2 minutes' walk from Basit. a. If we represent a graph G = V (V, E) in which set of vertices are home of each Friend and an edge represents a path between two homes. Provide the adjacency matrix of directed graph of the graph G. b. In above directed graph G. You are required to devise an algorithm to find all possible paths.
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