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DM
2010
129views more  DM 2010»
15 years 2 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»
15 years 8 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
15 years 3 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»
13 years 9 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»
15 years 2 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