We extend the (1 — 1/e)-approximation algorithm to a constant-factor approximation algorithms for a nonseparable assignment problem with applications in maximizing revenue for budget-constrained ...

2.1 Approximate Distinct Count: HyperLogLog HyperLogLog is an algorithm which is used to count the approximate cardinality (i.e., number of distinct elements) of items in a set.

Such algorithms find approximate (slightly suboptimal) solutions to optimization problems in polynomial time. Unlike heuristics, approximation algorithms have provable performance guarantees: they ...

Approximation algorithms for the TSP endeavour to provide efficient, near‐optimal solutions where exact methods prove computationally prohibitive.

This course covers advanced topics in approximation algorithms for NP-hard problems, including combinatorial algorithms and LP-based algorithms for set cover, k-cut, k-center, feedback vertex set, ...

A string of improved approximation algorithms have since emerged, after computer scientists began looking at the problem with fresh eyes.

A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries Mark Jerrum, Alistair Sinclair (UC Berkeley) and Eric Vigoda (Georgia Tech) received the Association ...

Such algorithms find approximate (slightly suboptimal) solutions to optimization problems in polynomial time. Unlike heuristics, approximation algorithms have provable performance guarantees: they ...

Michel Gendreau, Gilbert Laporte, Alain Hertz, An Approximation Algorithm for the Traveling Salesman Problem with Backhauls, Operations Research, Vol. 45, No. 4 (Jul ...