Interested to Buy Any Domain ? << Click Here >> for more details...
Let the G be a graph with 100 vertices numbered 1 to 100
Two vertices i and j are adjecnt if | i-j| =8 or | i-j|
=12. The Number of connected components in G is ?
- 4 Answers
- 14120 Views
- I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / yogesh
as i-j=8 is connected that means
a) 1,9,17,25....are connected
b) 2,10,18.26... are connected
.
.
e) 5,13,19,27.. are connected
.
.
h) 8,16,24,32 .. are connected
|i-j| = 12 are connected
that means
t)1,13,25,27 are conncted
y)2,14,26,38 are connected
u)3,15,27,
i)4,16,28...
obv because of t, even a and e are connected.
so only four series left i.e. a,b,c,d
a and b can never be connected because of odd numbers can
never be connected to even numbers in both the series.
so only possibity left is whether a and u or b and i can
be connected .
lets see a and u
a start with 1 and increments by 8
u starts with 3 and inctements by 12
this can match somewhere only if
for any value of m and n following is true
3+12*m = 1+8*n => 1+6*m = 4*n which can never be true
hence maximum number of connecte elements is 4.
| Is This Answer Correct ? | 6 Yes | 4 No |
Answer / achintya singhal
good question
there are 4 connected components..
first contains vertices numbered 1, 5, 9,13,17,21,25,29....
second contains 2, 6, 10, 14, 18.......
third one contains 3, 7, 11, 15......
fourth contains 4, 8, 12, 16, 20.......
| Is This Answer Correct ? | 5 Yes | 6 No |
How do you access the values within an array?
What is the difference between null and void pointer in data structures?
Differentiate between singly and doubly linked lists?
What are the advantages of bubble sort?
What are different sorting algorithms?
How do we find duplicate elements in an array?
What do you mean by Runtime Error
Which sorting is worst?
Which algorithm is used in arrays sort?
Can treemap key null?
How do you rotate an AVL tree?
What do you mean by data and data structure?
Windows 
