Linked from
The 61 pages that link to Linear programming, each with the reason it gives.
Convex setBroader topic: Its feasible regions are polyhedra, a central class of convex sets.
Convex optimizationBroader topic: It is the foundational special case of convex optimization.
Convex geometryBroader topic: Its feasible regions are polyhedra, a central class of convex sets.
Polynomial timeBroader topic: Interior-point methods solve linear programs in polynomial time.
Linear programming relaxationBroader topic: The relaxation is solved as an ordinary linear program.