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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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Community 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? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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