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COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 9 months ago
Edge-Magic Group Labellings of Countable Graphs
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...
COMBINATORICA
2008
92views more  COMBINATORICA 2008»
13 years 9 months ago
A separation theorem in property testing
Consider the following seemingly rhetorical question: Is it crucial for a property-tester to know the error parameter in advance? Previous papers dealing with various testing prob...
Noga Alon, Asaf Shapira
GD
2007
Springer
14 years 3 months ago
Improvement on the Decay of Crossing Numbers
We prove that the crossing number of a graph decays in a “continuous fashion” in the following sense. For any ε > 0 there is a δ > 0 such that for n sufficiently large...
Jakub Cerný, Jan Kyncl, Géza T&oacut...
IPPS
2007
IEEE
14 years 3 months ago
Software and Algorithms for Graph Queries on Multithreaded Architectures
Search-based graph queries, such as finding short paths and isomorphic subgraphs, are dominated by memory latency. If input graphs can be partitioned appropriately, large cluster...
Jonathan W. Berry, Bruce Hendrickson, Simon Kahan,...
FSTTCS
2010
Springer
13 years 7 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...