MHB Is this transitive closure correct or not?

  • Thread starter Thread starter Natalie1
  • Start date Start date
  • Tags Tags
    closure
Click For Summary
The discussion centers on understanding the representation of a transitive closure using an adjacency matrix. Participants seek clarification on the values in the matrix, specifically why they vary from 0 to 2 in the context of direct transitive closure. The transitive closure is defined as a relation that can be represented by its own adjacency matrix, but confusion arises regarding its representation in a column format. The conversation emphasizes the need for a clearer explanation of the relationship between the adjacency matrix and the transitive closure values. Overall, the thread highlights a common challenge in grasping the concept of transitive closure in relation to adjacency matrices.
Natalie1
Messages
7
Reaction score
0

Attachments

  • discrete.gif
    discrete.gif
    2.1 KB · Views: 114
Physics news on Phys.org
Could you explain what you mean by the table and especially by the column next to it?
 
It is an Adjacency matrix, on the right side is a direct transitive closure. Explain to me why the first one is 0, second - 1, third - 2 etc. I don't understand this transitive closure.
 
Natalie said:
It is an Adjacency matrix, on the right side is a direct transitive closure.
Transitive closure of a relation is another relation. It can be represented by its own adjacency matrix, but I don't understand how it is represented by a column.
 

Thread 'Two interesting number theory tricks'

First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...
View full post »

Similar threads

High School Subspaces of Functions- definition
  • · Replies 8 ·
Replies
8
Views
2K
Ukraine Thread Closure Reported - No Discussion Allowed?
  • · Replies 41 ·
2
Replies
41
Views
4K
Undergrad Uniform closure of algebra of bounded functions is uniformly closed
  • · Replies 2 ·
Replies
2
Views
2K
Medical Left Atrial Appendage (LAA) Closure for prophylactic A-fib treatment
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Dirichlet problem boundary conditions
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Interior and Closure in a Topological Space .... .... remark by Willard
  • · Replies 2 ·
Replies
2
Views
2K
Closure of relations betweens sets
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Proof for subgroup -- How prove it is a subgroup of Z^m?
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Closure & Interior as Dual Notions .... Proving Willard Theorem 3.11 ...
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Markov Processes: Estimating Transition Probabilities
  • · Replies 6 ·
Replies
6
Views
3K