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» A Graph Pebbling Algorithm on Weighted Graphs
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SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 10 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
PODC
2006
ACM
14 years 2 months ago
Object location using path separators
We study a novel separator property called k-path separable. Roughly speaking, a k-path separable graph can be recursively separated into smaller components by sequentially removi...
Ittai Abraham, Cyril Gavoille
COCOA
2008
Springer
13 years 10 months ago
Going Weighted: Parameterized Algorithms for Cluster Editing
The goal of the Cluster Editing problem is to make the fewest changes to the edge set of an input graph such that the resulting graph is a disjoint union of cliques. This problem i...
Sebastian Böcker, Sebastian Briesemeister, Qu...
IPL
2006
87views more  IPL 2006»
13 years 8 months ago
Vertex rankings of chordal graphs and weighted trees
: In this paper we consider the vertex ranking problem of weighted trees. We show that this problem is strongly NP-hard. We also give a polynomial-time reduction from the problem o...
Dariusz Dereniowski, Adam Nadolski
COMPGEOM
2006
ACM
14 years 2 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote