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WG
1995
Springer
13 years 8 months ago
On Interval Routing Schemes and Treewidth
Abstract. In this paper, we investigate which processor networks allow klabel Interval Routing Schemes, under the assumption that costs of edges may vary. We show that for each xed...
Hans L. Bodlaender, Richard B. Tan, Dimitrios M. T...
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 6 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...
COCOON
2005
Springer
13 years 11 months ago
Algorithms for Finding Distance-Edge-Colorings of Graphs
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishize...
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
14 years 5 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
COMBINATORICA
2010
13 years 9 days ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...