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» On the hyperbolicity constant in graphs
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STOC
2006
ACM
174views Algorithms» more  STOC 2006»
16 years 6 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
SIROCCO
2007
15 years 7 months ago
Fast Periodic Graph Exploration with Constant Memory
We consider the problem of periodic exploration of all nodes in undirected graphs by using a nite state automaton called later a robot. The robot, using a constant number of state...
Leszek Gasieniec, Ralf Klasing, Russell A. Martin,...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 9 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
FOCS
2004
IEEE
15 years 9 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
STOC
2003
ACM
108views Algorithms» more  STOC 2003»
16 years 6 months ago
Short path queries in planar graphs in constant time
Lukasz Kowalik, Maciej Kurowski