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Summary - Algorithmics

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Looking to master graph traversal algorithms like Bellman-Ford, Dijkstra's, and more? Dive into our comprehensive collection of graph traversal notes packed with insightful examples and concise code snippets. Learn the inner workings of these powerful algorithms and optimize your understanding of g...

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  • May 28, 2023
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  • 2022/2023
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Transitive Closure
course Algorithmics

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Transitive Closure
Explanation
Transitive Closure is a concept used in mathematics and computer science. It helps
us determine if there is a path or link between two objects, even if there are other
objects in between them.


How it Works
Transitive closure works by using matrices and squaring. To find out if there is a path
from one object to another, we create a matrix where the rows and columns
represent the objects, and the entries represent whether there is a direct path
between them. We then square this matrix, which gives us a new matrix where the
entries represent whether there is a path of length two between the objects. We can
repeat this process, squaring the matrix again and again, until we have a matrix



Transitive Closure 1

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