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WG
2004
Springer
15 years 4 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 4 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 4 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 11 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 3 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