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20112026
most citedApproximations for Monotone and Non-monotone Submodular Maximization with Knapsack Constraints

7 citations · 9 across the 12 of their papers we have counts for

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cs.DS2023

Approximate Monotone Local Search for Weighted Problems

Baris Can Esmer, Ariel Kulik, Daniel Marx +2

In a recent work, Esmer et al. describe a simple method - Approximate Monotone Local Search - to obtain exponential approximation algorithms from existing parameterized exact algor…

cs.DS2023

An EPTAS for Cardinality Constrained Multiple Knapsack via Iterative Randomized Rounding

Ilan Doron-Arad, Ariel Kulik, Hadas Shachnai

In [Math. Oper. Res., 2011], Fleischer et al. introduced a powerful technique for solving the generic class of separable assignment problems (SAP), in which a set of items of given…

cs.DS2023

Budgeted Matroid Maximization: a Parameterized Viewpoint

Ilan Doron-Arad, Ariel Kulik, Hadas Shachnai

We study budgeted variants of well known maximization problems with multiple matroid constraints. Given an -matchoid $\cm$ on a ground set , a profit function $p:E \righta…

cs.DS2023

Improved Approximation for Two-dimensional Vector Multiple Knapsack

Tomer Cohen, Ariel Kulik, Hadas Shachnai

We study the uniform -dimensional vector multiple knapsack (2VMK) problem, a natural variant of multiple knapsack arising in real-world applications such as virtual machine plac…

cs.DS2023

Lower Bounds for Matroid Optimization Problems with a Linear Constraint

Ilan Doron-Arad, Ariel Kulik, Hadas Shachnai

We study a family of matroid optimization problems with a linear constraint (MOL). In these problems, we seek a subset of elements which optimizes (i.e., maximizes or minimizes) a…

cs.DS2023

Optimally Repurposing Existing Algorithms to Obtain Exponential-Time Approximations

Barış Can Esmer, Ariel Kulik, Dániel Marx +2

The goal of this paper is to understand how exponential-time approximation algorithms can be obtained from existing polynomial-time approximation algorithms, existing parameterized…