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For question borderline with, or having application to, computer science. Consider also posting http://cs.stackexchange.com/ or http://cstheory.stackexchange.com/ instead of here, if appropriate.
1
vote
Accepted
How many edges can you put in a graph such that every edge belongs to a minimal $k$-cycle?
Here is a rough analysis to start things off. k=3 corresponds to a complete graph, and
k=4 to a complete bipartite graph with the vertex set split as evenly as possible. (I don't
see an easy proof of …
6
votes
Can We Decide Whether Small Computer Programs Halt?
On the flip side, one can write a program that does the
Collatz sequence or walks through an enumeration of
natural number vectors to see if it has a solution to some
Diophantine equation whose solubi …
4
votes
Mathematics of privacy?
I don't know what you can expect. You might be interested in work of Cynthia Dwork on the concept of differential privacy. The idea concerns what information can be revealed by queries to a database …