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Its impact/implications on the world: PageRank is, arguably, the most used algorithm in the world today. It is, of course, the foundation of the ranking of pages on Google's search engine.
7 algorithms and data structures every programmer must know.
There are seven different types of programming algorithms: Sort algorithms. Search algorithms. Hashing.
How about wikipedia's list of algorithms ?
How about Dictionary of Algorithms and Data Structures from the NIST?
You also have a good Wikibook on Algorithms, referred by many algorithms articles.
I would strongly recommend the book "Algorithm Design Manual" by Steven Skiena. It has the catalog structure you are mentioning.
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