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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
14 years 9 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
15 years 1 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
CORR
2008
Springer
133views Education» more  CORR 2008»
14 years 9 months ago
A simple local 3-approximation algorithm for vertex cover
We present a local algorithm (constant-time distributed algorithm) for finding a 3-approximate vertex cover in bounded-degree graphs. The algorithm is deterministic, and no auxili...
Valentin Polishchuk, Jukka Suomela
STOC
2005
ACM
163views Algorithms» more  STOC 2005»
15 years 9 months ago
Undirected ST-connectivity in log-space
We present a deterministic, log-space algorithm that solves st-connectivity in undirected graphs. The previous bound on the space complexity of undirected st-connectivity was log4...
Omer Reingold
IM
2007
14 years 9 months ago
Infinite Limits and Adjacency Properties of a Generalized Copying Model
We present a new model for self-organizing networks such as the web graph, and analyze its limit behaviour. In the model, new vertices are introduced over time that copy the neighb...
Anthony Bonato, Jeannette C. M. Janssen