Titlebook: Algorithms and Computation; 11th International C Gerhard Goos,Juris Hartmanis,Shang-Hua Teng Conference proceedings 2000 Springer-Verlag Be

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A 2-Approximation Algorithm for Path Coloring on Trees of Rings so that two cycles corresponding to the two end-nodes of any edge have precisely one node in common. Given a set of paths on a tree of rings, the routing problem is to color the paths with the smallest number of colors so that any two paths sharing an edge are assigned different colors. We present

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An Approximate Algorithm for the Weighted Hamiltonian Path Completion Problem on a Tree paper, we show that the Hamiltonian path completion problem will unlikely have any constant ratio approximation algorithm unless NP = P. This problem remains hard to approximate even when the given subgraph is a tree. Moreover, if the edge weights are restricted to be either 1 or 2, the Hamiltonian

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Finding Independent Spanning Trees in Partial ,-Treese internally disjoint. In this paper we give a linear-time algorithm to find the maximum number of independent spanning trees rooted at any given vertex . in partial .-trees ., that is, graphs . with tree-width bounded by a constant ..

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On Efficient Fixed Parameter Algorithms for Weighted Vertex Cover., a weight function ω : V → .+, and . ∈ .+, Weighted Vertex Cover (WVC for short) asks for a subset . of vertices in . of weight at most . such that every edge of G has at least one endpoint in .. WVC and its variants have all been shown to be .-complete. We show that, when restricting the range of

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