Maximum flow and minimum-cost flow in almost-linear time
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 …
directed graphs with m edges and polynomially bounded integral demands, costs, and …
Cycle bases in graphs characterization, algorithms, complexity, and applications
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 …
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 …
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; …
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 …
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 …
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
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 …
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
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 …
over dominating tree metrics such that the expected stretch of any edge is O (log n). This …
Geographic routing in social networks
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 …
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 …
optimization problems on metric spaces, by relating the randomized performance ratio for …