GATE CSE
First time here? Checkout the FAQ!
x
0 votes
132 views

Consider the following set : {1,2,3,.....n}. Now consider all possible subset. Two subset S1 and S2 are having edge between them only if their intersection has two common elements.

Find:
a) Number of isolated vertices.
b) Number of components
c) Highest degree possible.

 



Answers:
a) n+1
b) n+2
c) 3*2n-3

I have problem in c) part answer.
My answer is 2n - n - 2
My Approach:
I believe Highest degree should be of subset: {1,2,3....n} itself.
as it will be connected to every other vertices across.
It only not connected with single element set, phi and itself.
So its degree is 2n - n - 2 which must be highest.
Please suggest suitable approach to it.

closed as a duplicate of: GATE2006-71
asked in Graph Theory by Active (1.6k points) 16 47 71
retagged by | 132 views

1 Answer

0 votes
Your solution seems correct. But

"intersection has two common elements"

Is it exactly two or at least two?
answered by Veteran (319k points) 577 1445 2962


Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Top Users Oct 2017
  1. Arjun

    23338 Points

  2. Bikram

    17048 Points

  3. Habibkhan

    7912 Points

  4. srestha

    6238 Points

  5. Debashish Deka

    5438 Points

  6. jothee

    4968 Points

  7. Sachin Mittal 1

    4772 Points

  8. joshi_nitish

    4286 Points

  9. sushmita

    3964 Points

  10. Rishi yadav

    3794 Points


Recent Badges

Popular Question user1234
Copy Editor Ayush Upadhyaya
Popular Question asu
Popular Question .
Popular Question makhdoom ghaya
Popular Question junaid ahmad
Notable Question learner_geek
Notable Question jothee
Popular Question jothee
Notable Question Jeffrey Jose
27,290 questions
35,142 answers
83,926 comments
33,231 users