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A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.
- a)must have at least N branches for one or more closed paths to exist
- b)can have an unlimited number of branches
- c)can only have at most N branches
- d)can have a minimum number of branches not decided by N
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A connected network of N > 2 nodes has at most one branch directly ...
Connected graph: A graph is said to be connected if there exists at least one path between any two vertices (nodes) of the network. On the other hand, if a graph contains at least two separate parts, then it is called an unconnected graph graph.
In a connected network of N > 2 nodes have at most one branch directly connecting any pair of nodes. The graph of the network must have at least N branches for one or more closed paths to be existing.
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A connected network of N > 2 nodes has at most one branch directly ...
Explanation:
Connected Network Constraints:
- A connected network of N nodes has at most one branch directly connecting any pair of nodes.
- This means that there can be multiple branches in the network, but only one branch can directly connect any pair of nodes.
Importance of Branches:
- For one or more closed paths to exist in a network, there must be at least N branches.
- Each branch creates a path between nodes, and in order to form a closed loop or path that connects all N nodes, there must be at least N branches.
Example:
- Consider a network with 3 nodes (N=3). If there is only 1 branch connecting all 3 nodes, there cannot be a closed loop or path that includes all nodes.
- However, if there are at least 3 branches in the network, different paths can be formed to create closed loops or paths that connect all nodes.
Conclusion:
- Therefore, the graph of the network must have at least N branches for one or more closed paths to exist.
- Having more branches can provide flexibility in creating different paths and connections within the network.
Connected Network Constraints:
- A connected network of N nodes has at most one branch directly connecting any pair of nodes.
- This means that there can be multiple branches in the network, but only one branch can directly connect any pair of nodes.
Importance of Branches:
- For one or more closed paths to exist in a network, there must be at least N branches.
- Each branch creates a path between nodes, and in order to form a closed loop or path that connects all N nodes, there must be at least N branches.
Example:
- Consider a network with 3 nodes (N=3). If there is only 1 branch connecting all 3 nodes, there cannot be a closed loop or path that includes all nodes.
- However, if there are at least 3 branches in the network, different paths can be formed to create closed loops or paths that connect all nodes.
Conclusion:
- Therefore, the graph of the network must have at least N branches for one or more closed paths to exist.
- Having more branches can provide flexibility in creating different paths and connections within the network.
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A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer?
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A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer?.
A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network _____.a)must have at least N branches for one or more closed paths to existb)can have an unlimited number of branchesc)can only have at most N branchesd)can have a minimum number of branches not decided by NCorrect answer is option 'A'. Can you explain this answer?.
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