A (slightly) improved approximation algorithm for metric TSP

AR Karlin, N Klein, SO Gharan - Proceedings of the 53rd Annual ACM …, 2021 - dl.acm.org
A (Slightly) Improved Approximation Algorithm for Metric TSP Page 1 A (Slightly) Improved
Approximation Algorithm for Metric TSP Anna R. Karlin karlin@cs.washington.edu …

A survey on algorithmic approaches for solving tourist trip design problems

D Gavalas, C Konstantopoulos, K Mastakas… - Journal of …, 2014 - Springer
The tourist trip design problem (TTDP) refers to a route-planning problem for tourists
interested in visiting multiple points of interest (POIs). TTDP solvers derive daily tourist tours …

Efficient large-scale multi-drone delivery using transit networks

S Choudhury, K Solovey, MJ Kochenderfer… - Journal of Artificial …, 2021 - jair.org
We consider the problem of routing a large fleet of drones to deliver packages
simultaneously across broad urban areas. Besides flying directly, drones can use public …

An introduction to temporal graphs: An algorithmic perspective

O Michail - Internet Mathematics, 2016 - Taylor & Francis
A temporal graph is, informally speaking, a graph that changes with time. When time is
discrete and only the relationships between the participating entities may change and not …

Dependent randomized rounding via exchange properties of combinatorial structures

C Chekuri, J Vondrák… - 2010 IEEE 51st Annual …, 2010 - ieeexplore.ieee.org
We consider the problem of randomly rounding a fractional solution x in an integer polytope
P⊆[0, 1] n to a vertex X of P, so that E [X]= x. Our goal is to achieve concentration properties …

Log-concave polynomials, entropy, and a deterministic approximation algorithm for counting bases of matroids

N Anari, SO Gharan, C Vinzant - 2018 IEEE 59th Annual …, 2018 - ieeexplore.ieee.org
We give a deterministic polynomial time 2^ O (r)-approximation algorithm for the number of
bases of a given matroid of rank r and the number of common bases of any two matroids of …

A new efficient hybrid algorithm for large scale multiple traveling salesman problems

C Jiang, Z Wan, Z Peng - Expert Systems with Applications, 2020 - Elsevier
Multiple traveling salesmen problem (MTSP) is not only a generalization of the traveling
salesman problem (TSP), but also more suitable for modeling practical problems in the real …

A general framework for graph sparsification

WS Fung, R Hariharan, NJA Harvey… - Proceedings of the forty …, 2011 - dl.acm.org
We present a general framework for constructing cut sparsifiers in undirected graphs---
weighted subgraphs for which every cut has the same weight as the original graph, up to a …

Online stochastic max-weight matching: Prophet inequality for vertex and edge arrival models

T Ezra, M Feldman, N Gravin, ZG Tang - … of the 21st ACM Conference on …, 2020 - dl.acm.org
We provide prophet inequality algorithms for online weighted matching in general (non-
bipartite) graphs, under two well-studied arrival models, namely edge arrival and vertex …

A randomized rounding approach to the traveling salesman problem

SO Gharan, A Saberi, M Singh - 2011 IEEE 52nd Annual …, 2011 - ieeexplore.ieee.org
For some positive constant ϵ 0, we give a (3/2-ϵ 0)-approximation algorithm for the
following problem: given a graph G 0=(V, V 0), find the shortest tour that visits every vertex at …