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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
ARSCOM
2008
192views more  ARSCOM 2008»
14 years 11 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»
14 years 11 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»
14 years 11 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»
14 years 11 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