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WG
2005
Springer
15 years 10 months ago
Extending the Tractability Border for Closest Leaf Powers
The NP-complete Closest 4-Leaf Power problem asks, given an undirected graph, whether it can be modified by at most edge insertions or deletions such that it becomes a 4-leaf powe...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
JCT
2007
103views more  JCT 2007»
15 years 4 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
COMBINATORICS
2000
73views more  COMBINATORICS 2000»
15 years 4 months ago
Note on Gy. Elekes's Conjectures Concerning Unavoidable Patterns in Proper Colorings
A counterexample is presented to Gy. Elekes's conjecture concerning the existence of long 2-colored paths in properly colored graphs. A modified version of the conjecture is ...
Vera Rosta
ESA
2009
Springer
112views Algorithms» more  ESA 2009»
15 years 11 months ago
Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution
Abstract. In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives al...
Johan M. M. van Rooij, Hans L. Bodlaender, Peter R...
EVOW
2005
Springer
15 years 10 months ago
Region Merging for Severe Oversegmented Images Using a Hierarchical Social Metaheuristic
This paper proposes a new evolutionary region merging method to improve segmentation quality result on oversegmented images. The initial segmented image is described by a modified ...
Abraham Duarte, Ángel Sánchez, Felip...