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Mathematics for Data Science I · End Term · 7 Aug 2022 · May 2022 term

Question 1: An IT convention is being organized in a fancy hotel. Man…

Question 1

+2 marksOne correct option

An IT convention is being organized in a fancy hotel. Many parallel sessions are planned. Each session has to take place in a separate hall. Sessions that do not overlap can share a hall. The organizer of the convention would like to know the minimum number of halls to reserve at the hotel to fit in all the sessions without any clashes.
The organizer decides to model this as a graph where the nodes are the sessions and edges represent pairs of sessions with overlapping timings. In this setting, the graph theoretic question to be answered is:

  1. A

    Find a spanning tree with maximum number of edges.

  2. B

    Find a maximum size independent set.

  3. C

    Find a minimum size vertex cover.

  4. D

    Find a minimal colouring.

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Correct answer

  • D

    Find a minimal colouring.

Question 1 of 18 in the IIT Madras BS Mathematics for Data Science I (Maths 1) End Term paper sat on 7 Aug 2022, in the May 2022 term (IIT M FOUNDATION DIPLOMA ENDTERM QPB1 07 Aug 2022 IBA NS). It carries 2 marks.

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