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» On the Maximum Number of Cliques in a Graph
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ICALP
2007
Springer
14 years 1 months ago
On the Chromatic Number of Random Graphs
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Amin Coja-Oghlan, Konstantinos Panagiotou, Angelik...
ESCAPE
2007
Springer
256views Algorithms» more  ESCAPE 2007»
13 years 11 months ago
A More Effective Linear Kernelization for Cluster Editing
In the NP-hard Cluster Editing problem, we have as input an undirected graph G and an integer k 0. The question is whether we can transform G, by inserting and deleting at most k ...
Jiong Guo
ICDM
2006
IEEE
107views Data Mining» more  ICDM 2006»
14 years 1 months ago
Improving Grouped-Entity Resolution Using Quasi-Cliques
The entity resolution (ER) problem, which identifies duplicate entities that refer to the same real world entity, is essential in many applications. In this paper, in particular,...
Byung-Won On, Ergin Elmacioglu, Dongwon Lee, Jaewo...
JGT
2007
87views more  JGT 2007»
13 years 7 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
JSYML
2010
95views more  JSYML 2010»
13 years 2 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey