How many edges will a tree with $ n $ vertices have?
Show Hint
- \( \left\lfloor \frac{n}{2} \right\rfloor \)
- \( n \)
- \( 2 \times n \)
- \( n - 1 \)
The Correct Option is D
Solution and Explanation
Thus, the number of edges in a tree with \( n \) vertices is \( n - 1 \).
Top Questions on Graph Theory
Let \( G \) be a simple, unweighted, and undirected graph. A subset of the vertices and edges of \( G \) are shown below.
It is given that \( a - b - c - d \) is a shortest path between \( a \) and \( d \); \( e - f - g - h \) is a shortest path between \( e \) and \( h \); \( a - f - c - h \) is a shortest path between \( a \) and \( h \). Which of the following is/are NOT the edges of \( G \)?- Consider the given graph and shortest paths: The shortest paths given are: \[ a - b - c - d, \quad e - f - g - h, \quad a - f - c - h \] Which of the following cannot be an edge in the original graph?
The union and intersection of the graphs G and H are respectively
Match the following:
The cut vertex set of the graph is
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