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» On Bounds for the k-Partitioning of Graphs
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WG
2004
Springer
15 years 3 months ago
Computing Bounded-Degree Phylogenetic Roots of Disconnected Graphs
The Phylogenetic kth Root Problem (PRk) is the problem of finding a (phylogenetic) tree T from a given graph G = (V, E) such that (1) T has no degree-2 internal nodes, (2) the ex...
Zhi-Zhong Chen, Tatsuie Tsukiji
WDAG
2000
Springer
112views Algorithms» more  WDAG 2000»
15 years 1 months ago
More Lower Bounds for Weak Sense of Direction: The Case of Regular Graphs
A graph G with n vertices and maximum degree G cannot be given weak sense of direction using less than G colours. It is known that n colours are always sufficient, and it was conje...
Paolo Boldi, Sebastiano Vigna
ARSCOM
2008
192views more  ARSCOM 2008»
14 years 10 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
JDA
2006
83views more  JDA 2006»
14 years 10 months ago
Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
APPROX
2010
Springer
189views Algorithms» more  APPROX 2010»
14 years 10 months ago
Approximating Sparsest Cut in Graphs of Bounded Treewidth
We give the first constant-factor approximation algorithm for Sparsest-Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the f...
Eden Chlamtac, Robert Krauthgamer, Prasad Raghaven...