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» Connected Vertex Covers in Dense Graphs
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JGT
2010
128views more  JGT 2010»
13 years 9 months ago
On antimagic directed graphs
An antimagic labeling of an undirected graph G with n vertices and m edges is a bijection from the set of edges of G to the integers {1, . . . , m} such that all n vertex sums are...
Dan Hefetz, Torsten Mütze, Justus Schwartz
LATIN
2010
Springer
14 years 5 months ago
Some Observations on Holographic Algorithms
Abstract. We define the notion of diversity for families of finite functions, and express the limitations of a simple class of holographic algorithms in terms of limitations on d...
Leslie G. Valiant
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
14 years 2 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
MST
2010
107views more  MST 2010»
13 years 9 months ago
Fixed-Parameter Algorithms for Cluster Vertex Deletion
We initiate the first systematic study of the NP-hard Cluster Vertex Deletion (CVD) problem (unweighted and weighted) in terms of fixed-parameter algorithmics. In the unweighted...
Falk Hüffner, Christian Komusiewicz, Hannes M...
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
12 years 1 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh