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Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has 4 vertices and 6 edges, G2 has 6 vertices and 10 edges. Then number of edges in (G1 intersection G2) and (G1 union G2) are respectively
  • a)
    6,10    
  • b)
    6,16    
  • c)
    0,10    
  • d)
    0,16
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has ...
Edge disjoint means no edge is common and vertex disjoint means no vertex is common.
As there is no edge is common between G1 and G2, hence number of edges in (G1 intersection G2) = 0 and number of edges in (G1 union G2) = number of edges in G1 + number of edges in G2 = 6+10 = 16
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Most Upvoted Answer
Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has ...
Explanation:

G1 intersection G2:
- Since G1 and G2 are vertex disjoint, their intersection will have no common vertices.
- Since G1 and G2 are edge disjoint, their intersection will have no common edges.
- Therefore, the number of edges in (G1 intersection G2) is 0.

G1 union G2:
- The union of G1 and G2 will have all the vertices and edges from both graphs.
- Number of vertices in G1 union G2 = 4 (from G1) + 6 (from G2) = 10 vertices.
- Number of edges in G1 union G2 = 6 (from G1) + 10 (from G2) = 16 edges.
Therefore, the number of edges in (G1 intersection G2) and (G1 union G2) are respectively 0 and 16, which corresponds to option D.
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Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has 4 vertices and 6 edges, G2 has 6 vertices and 10 edges. Then number of edges in (G1 intersection G2) and (G1 union G2) are respectivelya)6,10 b)6,16 c)0,10 d)0,16Correct answer is option 'D'. Can you explain this answer?
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Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has 4 vertices and 6 edges, G2 has 6 vertices and 10 edges. Then number of edges in (G1 intersection G2) and (G1 union G2) are respectivelya)6,10 b)6,16 c)0,10 d)0,16Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has 4 vertices and 6 edges, G2 has 6 vertices and 10 edges. Then number of edges in (G1 intersection G2) and (G1 union G2) are respectivelya)6,10 b)6,16 c)0,10 d)0,16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G1 and G2 be two edge disjoint and vertex disjoint graphs. G1 has 4 vertices and 6 edges, G2 has 6 vertices and 10 edges. Then number of edges in (G1 intersection G2) and (G1 union G2) are respectivelya)6,10 b)6,16 c)0,10 d)0,16Correct answer is option 'D'. Can you explain this answer?.
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