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The incident matrix of a graph is given below:
The corresponding graph is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The incident matrix of a graph is given below:The corresponding graph ...
Concept:
  • The no. of rows in an incident matrix determines the total no. of nodes present in a graph.
  • The no. of columns in an incident matrix determines the total no. of branches present in a graph.
  • The incoming arrow to a node is taken as -1.
  • The outgoing arrow to a node is taken as +1.
Explanation:
Following are the results from the above incident matrix:
No. of rows = 4 = Total no. of nodes
No. of columns = 6 = Total no. of branches
Node 1: Three outgoing arrows
Node 2: Two incoming and one outgoing arrow
Node 3: One incoming and two outgoing arrows
Node 4: Three incoming arrows
All the above conditions are fulfilled by option 2.
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