Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Which one of the following is TRUE for any si... Start Learning for Free
Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?
  • a)
    No two vertices have the same degree
  • b)
    At least two vertices have the same degree
  • c)
    At least three vertices have the same degree
  • d)
    All vertices have the same degree
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which one of the following is TRUE for any simple connected undirected...
In a simple connected undirected graph (with more than two vertices), at least 2 vertices must have same degree, since if this is not true, then all vertices would have different degrees, A graph with all vertices having different degrees is not possible to construct (can be proved as a corollary to the Havell-Hakimi theorem). Notice that it is possible to construct graphs satisfying choices a, c and d.
View all questions of this test
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect answer is option 'B'. Can you explain this answer?
Question Description
Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect 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 Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect 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 Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect 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 Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which one of the following is TRUE for any simple connected undirected graph with more than 2 vertices?a)No two vertices have the same degreeb)At least two vertices have the same degreec)At least three vertices have the same degreed)All vertices have the same degreeCorrect 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