very short 9 mark python question

Description

very short python question, need it answered in around 2-3 hours if you wouldn’t mind 🙂 only 9 marks.

A city council is planning the city’s bus routes. It has decided which places will have a
bus stop (schools, cinemas, hospital, etc.). Each bus route will start from the train
station, visit a number of bus stops, and then return to the station, visiting the same bus
stops in reverse order. Each bus stop has to be served by at least one bus route. The
council wants to minimise the total amount of time that all buses are on the road when
following their routes.
This problem can be solved by first defining a graph and then applying to it a graph
algorithm to obtain the answer.
i. This part is about modelling with graphs (Companion).
Define a graph that is suitable for this problem, by addressing the following
questions. Justify your answers. Explicitly state any assumptions you make.
o
What do the nodes and edges represent?
о
Are edges directed? If so, what does the direction represent?
Are edges weighted? If so, what do the weights represent?
o
o
Is the graph acyclic or cyclic?
o
Is the graph dense or sparse? (6 marks)
ii. This question is about graph algorithms (Unit 5 Section 2 and the Companion).
What algorithm(s) would you adopt or adapt to efficiently compute the bus routes
according to the council’s criterion? You do not need to explain any algorithm
given in M269, only how it could be used or modified to solve the problem. State
explicitly any assumptions you make. (3 marks)

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