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Combinatorial optimization typically deals with optimizing over a finite set of objects that have some combinatorial structure (e.g. trees, matchings, matroids). Approximation algorithms, polyhedral methods, and integer programming are all on topic.

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How do you call a linear programming problem when the solution should be "constrained" to a ...

(apologies for the n00b question) Let's say we have a vector of length $n$, with to-be-determined values: $a_1, a_2, ...,a_n$. And we have information that partial sums of these elements are equal to …
Tal Galili's user avatar