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» On the Queue Number of Planar Graphs
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DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
15 years 2 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
15 years 1 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 3 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
SWAT
2004
Springer
153views Algorithms» more  SWAT 2004»
15 years 3 months ago
Melding Priority Queues
We show that any priority queue data structure that supports insert, delete, and find-min operations in pq(n) time, when n is an upper bound on the number of elements in the prio...
Ran Mendelson, Robert Endre Tarjan, Mikkel Thorup,...
ICALP
2009
Springer
15 years 10 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...