MHB What Are the Focus Areas in the Course Algorithms and Complexity?

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The discussion focuses on selecting a specialization within the course Algorithms and Complexity, specifically in the fields of Computer Science, Computational Geometry, and Cryptography. Participants express curiosity about the content and required knowledge for each field. Algorithms are associated with creating solutions for tasks like graph traversal, while Complexity involves analyzing the efficiency of algorithms. Computational Geometry includes topics such as combinatorial theorems and triangulations, whereas Cryptography covers foundational concepts like RSA and number theory. Overall, the conversation emphasizes the importance of understanding the theoretical aspects and practical applications of each field.
mathmari
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Hey! :o

I take the course Algorithm and Complexity and I have to choose one of the fields Computer Science(the operations of a computer), Computational Geometry or Cryptography.

Could you give some information about these fields?? (Wondering)
 
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At the course Algorithm and complexity the prof told me that I have to chose on which of the above fields I want to focus.

Could you tell me what these subjects/fields are about?? (Wondering)

What knowledge is required at each one?? (Wondering)
 
mathmari said:
At the course Algorithm and complexity the prof told me that I have to chose on which of the above fields I want to focus.

Could you tell me what these subjects/fields are about?? (Wondering)

What knowledge is required at each one?? (Wondering)

I would expect that Algorithm is about creating algorithms for tasks like finding the shortest path in a graph, and that Complexity is about figuring out how expensive a given algorithm is. (Mmm)
 
I like Serena said:
I would expect that Algorithm is about creating algorithms for tasks like finding the shortest path in a graph, and that Complexity is about figuring out how expensive a given algorithm is. (Mmm)

What algorithms can be created in these fields?? (Wondering)
 
mathmari said:
What algorithms can be created in these fields?? (Wondering)

Well, I guess for instance an algorithm to add a node to a binary tree that is as leftmost as possible, and that is at least at level $l$.
Like in http://mathhelpboards.com/computer-science-58/add-node-13307.html. (Wasntme)
 
Hi,

I think the better way to know this is asking professors but,

Probably the course Algorithms and complexity it's not about creating algorithms, you can study there Turing machines, complexity classes (in time and space), cook's conjecture and some other theorems related to this.

In Computational geometry you can study for example combinatorial theorems over polytopes, Delauny's triangularizations and Grobner bases.

In Criptography, I just know the basic RSA system which is based in the CRT and little's fermat theorem, so I can't tell you much more.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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