Maximum flow and minimum-cost flow in almost-linear time

L Chen, R Kyng, YP Liu, R Peng… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
We give an algorithm that computes exact maximum flows and minimum-cost flows on
directed graphs with m edges and polynomially bounded integral demands, costs, and …

Cycle bases in graphs characterization, algorithms, complexity, and applications

T Kavitha, C Liebchen, K Mehlhorn, D Michail… - Computer Science …, 2009 - Elsevier
Cycles in graphs play an important role in many applications, eg, analysis of electrical
networks, analysis of chemical and biological pathways, periodic scheduling, and graph …

The k-server problem

E Koutsoupias - Computer Science Review, 2009 - Elsevier
The k-server problem is perhaps the most influential online problem: natural, crisp, with a
surprising technical depth that manifests the richness of competitive analysis. The k-server …

[書籍][B] The design of approximation algorithms

DP Williamson, DB Shmoys - 2011 - books.google.com
Discrete optimization problems are everywhere, from traditional operations research
planning (scheduling, facility location and network design); to computer science databases; …

[書籍][B] Distributed computing: a locality-sensitive approach

D Peleg - 2000 - SIAM
Distributed computing concerns environments in which many processors, located at different
sites, must operate in a noninterfering and cooperative manner. Each of the processors …

[書籍][B] Lectures on discrete geometry

J Matousek - 2013 - books.google.com
This book is primarily a textbook introduction to various areas of discrete geometry. In each
area, it explains several key results and methods, in an accessible and concrete manner. It …

Nearly-linear time algorithms for graph partitioning, graph sparsification, and solving linear systems

DA Spielman, SH Teng - Proceedings of the thirty-sixth annual ACM …, 2004 - dl.acm.org
We present algorithms for solving symmetric, diagonally-dominant linear systems to
accuracy ε in time linear in their number of non-zeros and log (κf (A) ε), where κf (A) is the …

A tight bound on approximating arbitrary metrics by tree metrics

J Fakcharoenphol, S Rao, K Talwar - … of the thirty-fifth annual ACM …, 2003 - dl.acm.org
In this paper, we show that any n point metric space can be embedded into a distribution
over dominating tree metrics such that the expected stretch of any edge is O (log n). This …

Geographic routing in social networks

D Liben-Nowell, J Novak, R Kumar… - Proceedings of the …, 2005 - National Acad Sciences
We live in a “small world,” where two arbitrary people are likely connected by a short chain
of intermediate friends. With scant information about a target individual, people can …

Probabilistic approximation of metric spaces and its algorithmic applications

Y Bartal - Proceedings of 37th Conference on Foundations of …, 1996 - ieeexplore.ieee.org
This paper provides a novel technique for the analysis of randomized algorithms for
optimization problems on metric spaces, by relating the randomized performance ratio for …