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ICALP
2011
Springer
12 years 11 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
CORR
2004
Springer
119views Education» more  CORR 2004»
13 years 7 months ago
The Largest Compatible Subset Problem for Phylogenetic Data
Abstract. The phylogenetic tree construction is to infer the evolutionary relationship between species from the experimental data. However, the experimental data are often imperfec...
Andy Auyeung, Ajith Abraham
FOCS
2003
IEEE
14 years 24 days ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 9 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
COMPGEOM
2009
ACM
14 years 2 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray