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Consider the following data for twigs and links:
N = Number of nodes
L = Total number of links
B = Total number of branches
The total number of links associated with a tree is
  • a)
    B – N + 1
  • b)
    B – N – 1
  • c)
    B + N + 1
  • d)
    2B – N + 1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the following data for twigs and links:N = Number of nodesL =...
Concept:
Tree: A tree is a sub graph of main graph which connects all the nodes without forming a closed loop.
For a graph with ‘n’ nodes, the rank of tree = N – 1
Any tree for a given graph can be constructed with (N–1) branches.
Twig: The branch of a tree is called as twig indicated by thick Line. Any tree with n nodes has (n–1) twigs.
Co-tree: The set of branches in a graph other than tree branches form a co tree.
Link: The branch of a co tree is called link indicated by dotted Line.
For any graph with n nodes and b branches, the numbers of links is given by:
= B – N + 1
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