Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let G be a complete undirected graph of six v...
Start Learning for Free
Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G is
Correct answer is '45'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Let G be a complete undirected graph of six vertices. If the vertices ...
There can be total 6C4 ways to pick four vertices from six. The value of 6C4 is 15.
Note that the given graph is complete, so any four vertices can form a cycle.
There can be six different cycles with four vertices. For example, consider four vertices a, b, c and d.
(a, b, c, d, a)
(a, b, d, c, a)
(a, c, b, d, a)
(a, c, d, b, a)
(a, d, b, c, a)
(a, d, c, b, a)
And (a, b, c, d, a) and (a, d, c, b, a); (a, b, d, c, a) and (a, c, d, b, a); and (a, c, b, d, a) and (a, d, b, c, a) are same cycles.
So, total number of distinct cycles = (15 x 3) = 45
Note that the given graph is complete, so any four vertices can form a cycle.
There can be six different cycles with four vertices. For example, consider four vertices a, b, c and d.
(a, b, c, d, a)
(a, b, d, c, a)
(a, c, b, d, a)
(a, c, d, b, a)
(a, d, b, c, a)
(a, d, c, b, a)
And (a, b, c, d, a) and (a, d, c, b, a); (a, b, d, c, a) and (a, c, d, b, a); and (a, c, b, d, a) and (a, d, b, c, a) are same cycles.
So, total number of distinct cycles = (15 x 3) = 45
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Top Courses for Computer Science Engineering (CSE)View all
Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer?
Question Description
Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. 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 a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. 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 a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer?.
Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. 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 a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. 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 a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer?.
Solutions for Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. 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 a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer?, a detailed solution for Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer? has been provided alongside types of Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let G be a complete undirected graph of six vertices. If the vertices of G are labelled, then the number of distinct cycles of length 4 in G isCorrect answer is '45'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup