Question:
The union and intersection of the graphs G and H are respectively
The union and intersection of the graphs G and H are respectively
Show Hint
The union of two graphs includes all vertices and edges from both graphs, while the intersection includes only those that are common to both graphs.
Updated On: May 4, 2025
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
To find the union of two graphs, we combine the vertices and edges of both graphs.
To find the intersection, we retain only the vertices and edges that are common to both graphs.
Thus, the correct answer is the graph with the union and intersection of \( G \) and \( H \), as shown in Option 1.
Thus, the correct answer is the graph with the union and intersection of \( G \) and \( H \), as shown in Option 1.
Was this answer helpful?
0
0
Top Questions on Graph Theory
- A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on n vertices, \( n \) is _______.
- Dijkstra's algorithm fails for graphs with _______.
- Assume G is a simple undirected graph and some vertices of G are of odd degree. Add a node \( v \) to G and make it adjacent to each odd degree vertex of G, then the resultant graph is sure to be _______.
- A subgraph H of a graph G is called a clique if _______.
- For a given graph G having \( v \) vertices and \( e \) edges which is connected and has no cycles, which of the following statements is true?
View More Questions
Questions Asked in AP PGECET exam
- Given \( x_0 \neq 0 \), the iteration \[ x_{n+1} = \frac{1}{2} \left( -\frac{9}{x_n} + x_n \right), n \geq 0 { is a} \]
- AP PGECET - 2025
- Numerical Methods
- Suppose \( \sum_{n=1}^{\infty} a_n (x - 2)^n \) is convergent at \( x = -5 \), then it need not be convergent on which interval?
- AP PGECET - 2025
- Convergence tests
- The set of all critical points of the function \( f(x) = |x^2 - 1| \) on \( [-2, 2] \) is ...........
- AP PGECET - 2025
- Calculus
The surface integral \( \int_S x^2 \, dS \) over the upper hemisphere
\[ z = \sqrt{1 - x^2 - y^2} \]
with radius 1 is ..........- AP PGECET - 2025
- Calculus
- Consider the system of equations:
\[ x + 2y - z = 3 \\ 2x + 4y - 2z = 7 \\ 3x + 6y - 3z = 9 \]
Which of the following statements is true about the system?
- AP PGECET - 2025
- Linear Algebra
View More Questions