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AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
14 years 1 months ago
Complexity of Minimal Tree Routing and Coloring
Let G be a undirected connected graph. Given a set of g groups each being a subset of V (G), tree routing and coloring is to produce g trees in G and assign a color to each of them...
Xujin Chen, Xiao-Dong Hu, Xiaohua Jia
ACID
2006
236views Algorithms» more  ACID 2006»
13 years 9 months ago
Kernelization for Convex Recoloring
The Convex Recoloring (CR) problem measures how far a tree of characters differs from exhibiting a so-called "perfect phylogeny". For input consisting of a vertex-colored...
Hans L. Bodlaender, Michael R. Fellows, Michael A....
MST
2007
167views more  MST 2007»
13 years 7 months ago
The Complexity of Polynomial-Time Approximation
In 1996, Khanna and Motwani [KM96] proposed three logic-based optimization problems constrained by planar structure, and offered the hypothesis that these putatively fundamental ...
Liming Cai, Michael R. Fellows, David W. Juedes, F...
ICALP
2003
Springer
14 years 21 days ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
ICTCS
2005
Springer
14 years 1 months ago
Weighted Coloring: Further Complexity and Approximability Results
Given a vertex-weighted graph G = (V, E; w), w(v) ≥ 0 for any v ∈ V , we consider a weighted version of the coloring problem which consists in finding a partition S = (S1, . ...
Bruno Escoffier, Jérôme Monnot, Vange...