Warshall's Algorithm (Finding the Transitive Closure)

Discrete Mathematics: Warshall's Algorithm
Topics discussed:
1) Finding the transitive closure using Warshall's Algorithm.
2) The need for Warshall's Algorithm.
3) Example of finding the transitive closure using Warshall's Algorithm.
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[@TheMCMaster]

It is ridiculous how complicated my text book made this sound, versus how simple it is as shown in this video.

[@shimadabr]

Textbooks focus too much on the mathematical concepts and relations and very little on examples. I wonder if universities/schools just recommend this kind of textbook (which are great if you are doing research on the topic or just want deeper knowledge) because it's all there is available or because they can't help themselves haha.

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Thank you so much for this amazing lecture. In the textbook it was like an alien language, but now after watching your video I undertsand that textbooks are so complicated and it is like authors are trying to show the things as hard and formal as they can lol.

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What a beautiful explaination, i never understood closures properly, thankyou for making it easier.

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Can u give your opinion ....why it is only of C ×R..............why not R×C?

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sir is Warshall's algorithm is only applicable for transitive closure or applicable for both reflexive and symmetric also.

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Can RxC be used instead of CxR??🤔

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no , if u have (1,2) and (2,3) in the relation u 'go' from 2 to 3 so to say.
column i is from where u 'get' to i.
row i is where i 'gets' you

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Super

[@shimadabr]

Can someone point me to a resource that explains WHY this method works? This seems pretty different (and a lot simpler) than the method i learned (which is similar to a matrix dot product for each step. After this, the transitive closure is the union of R¹ U R² U R³ ....).

[@rishabhpandey12aroll7.5]

can you please share the resource from where you learned the matrix dot product please.

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