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DM
2010
129views more  DM 2010»
13 years 8 months ago
Interpolating between bounds on the independence number
For a non-negative integer T, we prove that the independence number of a graph G = (V, E) in which every vertex belongs to at most T triangles is at least uV f(d(u), T) where d(u)...
Anett Boßecker, Dieter Rautenbach
WDAG
2009
Springer
147views Algorithms» more  WDAG 2009»
14 years 3 months ago
Compact Routing in Power-Law Graphs
Abstract. We adapt the compact routing scheme by Thorup and Zwick to optimize it for power-law graphs. We analyze our adapted routing scheme based on the theory of unweighted rando...
Wei Chen, Christian Sommer 0002, Shang-Hua Teng, Y...
SIROCCO
2007
13 years 10 months ago
Fast Periodic Graph Exploration with Constant Memory
We consider the problem of periodic exploration of all nodes in undirected graphs by using a nite state automaton called later a robot. The robot, using a constant number of state...
Leszek Gasieniec, Ralf Klasing, Russell A. Martin,...
TCC
2012
Springer
218views Cryptology» more  TCC 2012»
12 years 4 months ago
Iterative Constructions and Private Data Release
In this paper we study the problem of approximately releasing the cut function of a graph while preserving differential privacy, and give new algorithms (and new analyses of exis...
Anupam Gupta, Aaron Roth, Jonathan Ullman
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 8 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky