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ESA
1997
Springer
93views Algorithms» more  ESA 1997»
14 years 28 days ago
Quasi-Fully Dynamic Algorithms for Two-Connectivity, Cycle Equivalence and Related Problems
In thispaper we introduce a new class of dynamicgraphalgorithmscalledquasi-fully dynamic algorithms,which are much more general than the backtracking algorithmsand are much simple...
Madhukar R. Korupolu, Vijaya Ramachandran
LATIN
2010
Springer
14 years 3 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
SODA
2008
ACM
97views Algorithms» more  SODA 2008»
13 years 10 months ago
Stochastic analyses for online combinatorial optimization problems
In this paper, we study online algorithms when the input is not chosen adversarially, but consists of draws from some given probability distribution. While this model has been stu...
Naveen Garg, Anupam Gupta, Stefano Leonardi, Piotr...
JOIN
2007
91views more  JOIN 2007»
13 years 8 months ago
An Optimal Rebuilding Strategy for an Incremental Tree Problem
This paper is devoted to the following incremental problem. Initially, a graph and a distinguished subset of vertices, called initial group, are given. This group is connected by ...
Nicolas Thibault, Christian Laforest
ANOR
2008
66views more  ANOR 2008»
13 years 9 months ago
Optimization problems involving collections of dependent objects
We describe a class of problems motivated by numerous real-world applications where there is a collection of objects that have both a cost and a value, but where some of those obj...
David L. Roberts, Charles L. Isbell, Michael L. Li...