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SODA
2007
ACM
106views Algorithms» more  SODA 2007»
14 years 1 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
SODA
2007
ACM
115views Algorithms» more  SODA 2007»
14 years 1 months ago
Strong price of anarchy
A strong equilibrium (Aumann 1959) is a pure Nash equilibrium which is resilient to deviations by coalitions. We define the strong price of anarchy to be the ratio of the worst c...
Nir Andelman, Michal Feldman, Yishay Mansour
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
14 years 1 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
SODA
2007
ACM
76views Algorithms» more  SODA 2007»
14 years 1 months ago
An unbiased pointing operator for unlabeled structures, with applications to counting and sampling
We introduce a general method to count and randomly sample unlabeled combinatorial structures. The approach is based on pointing unlabeled structures in an “unbiased” way, i.e...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
SODA
2007
ACM
127views Algorithms» more  SODA 2007»
14 years 1 months ago
Line-of-sight networks
Random geometric graphs have been one of the fundamental models for reasoning about wireless networks: one places n points at random in a region of the plane (typically a square o...
Alan M. Frieze, Jon M. Kleinberg, R. Ravi, Warren ...
SODA
2007
ACM
99views Algorithms» more  SODA 2007»
14 years 1 months ago
Matroids, secretary problems, and online mechanisms
We study a generalization of the classical secretary problem which we call the “matroid secretary problem”. In this problem, the elements of a matroid are presented to an onli...
Moshe Babaioff, Nicole Immorlica, Robert Kleinberg
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
14 years 1 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
SIROCCO
2007
14 years 1 months ago
Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
Jurek Czyzowicz, Stefan Dobrev, Evangelos Kranakis...
WALCOM
2008
IEEE
73views Algorithms» more  WALCOM 2008»
14 years 1 months ago
Listing All Plane Graphs
Katsuhisa Yamanaka, Shin-Ichi Nakano
WALCOM
2008
IEEE
95views Algorithms» more  WALCOM 2008»
14 years 1 months ago
Indexing Circular Patterns
This paper deals with the Circular Pattern Matching Problem (CPM). In CPM, we are interested in pattern matching between the text T and the circular pattern C(P) of a given pattern...
Costas S. Iliopoulos, M. Sohel Rahman