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» Graphs of Bounded Treewidth can be Canonized in AC1
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WG
2004
Springer
15 years 2 months ago
Partitioning a Weighted Graph to Connected Subgraphs of Almost Uniform Size
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
ISCAS
2005
IEEE
129views Hardware» more  ISCAS 2005»
15 years 3 months ago
Partitioning graphs of supply and demand
: Assume that each vertex of a graph G is either a supply vertex or a demand vertex and is assigned a positive integer, called a supply or a demand. Each demand vertex can receive ...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
ICALP
2003
Springer
15 years 2 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
ICALP
2009
Springer
15 years 9 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...
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