Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Let G be the graph with 100 vertices numbered... Start Learning for Free
Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G is
  • a)
    8
  • b)
    4
  • c)
    12
  • d)
    25
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i...
The graph G is a complete graph on 100 vertices. In a complete graph, every pair of distinct vertices is adjacent, which means there is an edge between them.

Since there are 100 vertices in G, each vertex is adjacent to all other vertices. Therefore, for any pair of distinct vertices i and j, the statement |i-j| < 4="" is="" always="" true.="" 4="" is="" always="" />
Free Test
Community Answer
Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i...
When vertices are arranged with difference of 8 there are 8 components as shown by 8 columns in the image below:

When vertices are arranged with difference of 12 the number of components is reduced to 4 as first column will be connected with fifth column, second column will be connected with sixth column, third column will be connected with seventh column and fourth column will be connected with eighth column. No other form of connection exists so total 4 connected components are there.
So, option (B) is correct.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer?
Question Description
Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer?.
Solutions for Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let G be the graph with 100 vertices numbered 1 to 100. Two vertices i and j are adjacent iff |i−j|=8 or |i−j|=12. The number of connected components in G isa)8b)4c)12d)25Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev