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» Vertex Partitions by Connected Monochromatic k-Regular Graph...
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JCT
2000
65views more  JCT 2000»
13 years 4 months ago
Vertex Partitions by Connected Monochromatic k-Regular Graphs
Gábor N. Sárközy, Stanley M. Se...
JDA
2008
94views more  JDA 2008»
13 years 4 months ago
Approximability of partitioning graphs with supply and demand
Suppose that each vertex of a graph G is either a supply vertex or a demand vertex and is assigned a positive real number, called the supply or the demand. Each demand vertex can ...
Takehiro Ito, Erik D. Demaine, Xiao Zhou, Takao Ni...
JGT
2006
70views more  JGT 2006»
13 years 4 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
COCOON
2006
Springer
13 years 6 months ago
Partitioning a Multi-weighted Graph to Connected Subgraphs of Almost Uniform Size
Assume that each vertex of a graph G is assigned a constant number q of nonnegative integer weights, and that q pairs of nonnegative integers li and ui, 1 i q, are given. One wis...
Takehiro Ito, Kazuya Goto, Xiao Zhou, Takao Nishiz...
JDA
2006
83views more  JDA 2006»
13 years 4 months ago
Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
Takehiro Ito, Xiao Zhou, Takao Nishizeki