Submodular function maximization via the multilinear relaxation and contention resolution schemes

C Chekuri, J Vondrák, R Zenklusen - … of the forty-third annual ACM …, 2011 - dl.acm.org
We consider the problem of maximizing a non-negative submodular set function f: 2N-> RR+
over a ground set N subject to a variety of packing type constraints including (multiple) …

[图书][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

Truthful and near-optimal mechanism design via linear programming

R Lavi, C Swamy - Journal of the ACM (JACM), 2011 - dl.acm.org
We give a general technique to obtain approximation mechanisms that are truthful in
expectation. We show that for packing domains, any α-approximation algorithm that also …

Surface code compilation via edge-disjoint paths

M Beverland, V Kliuchnikov, E Schoute - PRX Quantum, 2022 - APS
We provide an efficient algorithm to compile quantum circuits for fault-tolerant execution. We
target surface codes, which form a two-dimensional grid of logical qubits with nearest …

Multicommodity demand flow in a tree and packing integer programs

C Chekuri, M Mydlarz, FB Shepherd - ACM Transactions on Algorithms …, 2007 - dl.acm.org
We consider requests for capacity in a given tree network T=(V, E) where each edge e of the
tree has some integer capacity u e. Each request f is a node pair with an integer demand df …

Approximation algorithms for the unsplittable flow problem

A Chakrabarti, C Chekuri, A Gupta, A Kumar - Algorithmica, 2007 - Springer
We present approximation algorithms for the unsplittable flow problem (UFP) in undirected
graphs. As is standard in this line of research, we assume that the maximum demand is at …

Multicommodity flow, well-linked terminals, and routing problems

C Chekuri, S Khanna, FB Shepherd - … of the thirty-seventh annual ACM …, 2005 - dl.acm.org
We study multicommodity routing problems in both edge and node capacitated undirected
graphs. The input to each problem is a capacitated graph G=(V, E) and a set Τ of node pairs …

Planar disjoint paths, treewidth, and kernels

M Włodarczyk, M Zehavi - 2023 IEEE 64th Annual Symposium …, 2023 - ieeexplore.ieee.org
In the PLANAR DISJOINT PATHS problem, one is given an undirected planar graph with a
set of k vertex pairs \left(s_i,t_i\right) and the task is to find k pairwise vertex-disjoint paths …

Edge-disjoint paths revisited

C Chekuri, S Khanna - ACM Transactions on Algorithms (TALG), 2007 - dl.acm.org
The approximability of the maximum edge-disjoint paths problem (EDP) in directed graphs
was seemingly settled by an Ω (m 1/2-ϵ)-hardness result of Guruswami et al.[2003], and an …

New hardness results for routing on disjoint paths

J Chuzhoy, DHK Kim, R Nimavat - Proceedings of the 49th Annual ACM …, 2017 - dl.acm.org
In the classical Node-Disjoint Paths (NDP) problem, the input consists of an undirected n-
vertex graph G, and a collection M={(s 1, t 1),…,(sk, tk)} of pairs of its vertices, called source …