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COMBINATORICA
2010
14 years 4 months 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...
CORR
2010
Springer
106views Education» more  CORR 2010»
14 years 9 months ago
Lombardi Drawings of Graphs
We introduce the notion of Lombardi graph drawings, named after the abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line seg...
Christian A. Duncan, David Eppstein, Michael T. Go...
SOFSEM
1997
Springer
15 years 1 months ago
Time Optimal Self-Stabilizing Algorithms
: In this paper we rst present a general lower bound on the stabilization time which holds for a number of graph theoretic problems, including leader election, spanning tree constr...
Rastislav Kralovic
GD
2008
Springer
14 years 10 months ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
15 years 3 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan