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Search options questions only not deleted user 19

Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.

1 vote
1 answer
40 views

Optimizing for maximum intervals given a distance bound

Given an interval set $X = \{(s_1, e_1), \dotsc, (s_N, e_N)\}$ ordered such that $s_i \leq s_j$ and $e_i \leq e_j$ for all $i < j$ and an integer $b$, I would like to find a maximum sized subset $X' \ …
Nicholas Mancuso's user avatar
5 votes
2 answers
216 views

Constraint violation and efficiency in search

It seems that (in a broad sense) two approaches can be utilized to produce an algorithm for solving various optimization problems: Start with a feasible solution and expand search until constraints …
Nicholas Mancuso's user avatar
6 votes
2 answers
916 views

Randomized Rounding of Solutions to Linear Programs

Integer linear programming (ILP) is an incredibly powerful tool in combinatorial optimization. …
Nicholas Mancuso's user avatar
23 votes
1 answer
2k views

How fundamental are matroids and greedoids in algorithm design?

Initially, matroids were introduced to generalize the notions of linear independence of a collection of subsets $E$ over some ground set $I$. Certain problems that contain this structure permit greedy …
Nicholas Mancuso's user avatar