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ISCAS
2005
IEEE
129views Hardware» more  ISCAS 2005»
14 years 1 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
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 7 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
ENDM
2000
60views more  ENDM 2000»
13 years 7 months ago
The graph sandwich problem for 1-join composition is NP-complete
A graph is a 1-join composition if its vertex set can be partitioned into four nonempty sets AL; AR; SL and SR such that: every vertex of AL is adjacent to every vertex of AR; no ...
Celina M. Herrera de Figueiredo, Sulamita Klein, K...
JGT
2006
70views more  JGT 2006»
13 years 7 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
EOR
2010
82views more  EOR 2010»
13 years 7 months ago
Satisfactory graph partition, variants, and generalizations
The Satisfactory Partition problem asks for deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neighbor...
Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten