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Consider the following with regards to graph as shown in the figure given below:
1. Regular graph
2. Connected graph
3. Complete graph
4. Non-regular graph
Which of the above are correct?
  • a)
    1 and 4
  • b)
    3 and 4
  • c)
    2 and 3
  • d)
    1 and 2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the following with regards to graph as shown in the figure gi...
Concept:
  • A graph is said to be a regular graph if all nodes connected with other nodes in the same manner, otherwise the graph will be non-regular.
  • A graph is said to be a connected graph, if at least one branch must present between any two nodes of the graph otherwise it will be an unconnected graph.
  • A graph is said to be a complete graph if every node in the graph is connected with every other node in the graph.
Analysis:
A network graph is given as:
From the network graph above, we have:
Total nodes or vertex = 6
= (1, 2, 3, 4, 5, 6)
And Total edges or branches = 9
= (1 - 2), (2 - 3), (3 - 4), (4 - 5), (5 - 6), (6 - 1), (1 - 4), (2 - 6), (3 - 5)
  • Since each node of the graph is connected via three other nodes. So it is a regular graph.
  • i.e. for Node 1: Node 2, 4, 6 are connected from node-1
  • for node-2: nodes 1, 6, 3 are connected from node 2, and so on.
  • In the network graph, a defined path exists between every pair of nodes. So it is a connected graph.
  • Since in the given network graph, every node is not connected with every other node. So it is not a complete graph.
  • e.g. node 1 is not connected from node 3, 5
  • node 2 is not connected from nodes 4, 5, and so on.
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Consider the following with regards to graph as shown in the figure given below:1. Regular graph2. Connected graph3. Complete graph4. Non-regular graphWhich of the above are correct?a)1 and 4b)3 and 4c)2 and 3d)1 and 2Correct answer is option 'D'. Can you explain this answer?
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