# Social Networks | NPTEL | Week 5 Assignment Solutions

This set of MCQ(multiple choice questions) focuses on the Social Networks NPTEL Week 5 Assignment Solutions.

Week 1:Â Introduction
Week 2: Handling Real-world Network Datasets
Week 3: Strength of Weak Ties
Week 4: Strong and Weak Relationships (Continued) & HomophilyÂ
Week 5:Â Homophily Continued and +Ve / -Ve Relationships
Week 7:Â Cascading Behaviour in Networks
Week 9:Â Power Laws and Rich-Get-Richer Phenomena
Week 10:Â Power law (contd..) and Epidemics
Week 11: Small World Phenomenon
Week 12: Pseudocore (How to go viral on web)

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### Social Networks NPTEL 2022 Week 5 Assignment Solutions

Q1. Let âˆ’ denote friendship and + denotes enmity relationship in a social network. Which of the following are not stable triangular relationship structures?
I. +, +, +
II. +, +, âˆ’
III. +, âˆ’, âˆ’
IV. âˆ’, âˆ’, âˆ’

a) I, II and III
b) II, III and IV
c) I and III
d) II and IV

Q2. Two of my close friends hate each other. In how many ways can the structure evolve to a stable configuration?

a) 1
b) 2
c) 3

Q3. A triangular network is stable if it has ________ +ve relationships.

a) Only 2
b) no
c) odd number of
d) even number of

Q4. Choose the False statement out of the following:

a) Structural balance involves studying the interplay of positive and negative relationships among the nodes over time.
b) Structural balance is a theory that offers ways of equating the number of positive and negative edges in a network so that it becomes â€˜balancedâ€™.
c) Structural balance illustrates a nice connection between local and global network properties.
d) Structural balance is to understand the tension between the two forces, i.e. friendship and antagonism.

Answer: b) Structural balance is a theory that offers ways of equating the number of positive and negative edges in a network so that it becomes â€˜balancedâ€™.

Q5. Which of the following triangles follows the social belief that â€˜Enemy of my enemy is my friendâ€™?

Social Networks NPTEL Week 5 Assignment Solutions

Q6. A friendâ€™s friend tends to become a friend, and so does an enemyâ€™s enemy. The reasons for the same are

a) Social influence and clustering respectively
b) Social influence and structural balance respectively
c) Triadic closure and structural balance respectively
d) Triadic closure and clustering respectively

Q7. Count the number of unstable triangles in the graphs shown in figure 1, where solid edges indicate positive ties and dotted edges indicate negative ties.

a) 8,5,6
b) 8,4,6
c) 7,3,7
d) 7,3,6

Social Networks NPTEL Week 5 Assignment Solutions

Q8. Which of the following structures of graphs is/are balanced?

a) Both (a) and (c)
b) Only (a)
c) Only (b)
d) Both (b) and (d)

Social Networks NPTEL week 5 Assignment Solutions

Q9. Can we have a complete signed graph on 4 nodes (K4) and 5 nodes (K5) respectively, each having exactly one unstable triangle?

a) K4 – Yes K5 – Yes
b) K4 – Yes K5 – No
c) K4 – No K5 – Yes
d) K4 – No K5 – No

Answer: d) K4 – No K5 – No

Q10. In a graph having n nodes, how many possible triangles can be present?

a) n3
b) 3n
c) n(nâˆ’1)(nâˆ’2)/6
d) None of the above

Social Networks NPTEL week 5 Assignment Solutions

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