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» Graphs, partitions and Fibonacci numbers
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CPC
2004
136views more  CPC 2004»
13 years 7 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell
FCT
2005
Springer
14 years 1 months ago
Reconstructing Many Partitions Using Spectral Techniques
A partitioning of a set of n items is a grouping of these items into k disjoint, equally sized classes. Any partition can be modeled as a graph. The items become the vertices of th...
Joachim Giesen, Dieter Mitsche
ARSCOM
2007
65views more  ARSCOM 2007»
13 years 8 months ago
Odd and Even Dominating Sets with Open Neighborhoods
A subset D of the vertex set V of a graph is called an open oddd dominating set if each vertex in V is adjacent to an odd number of vertices in D (adjacency is irreflexive). In t...
John L. Goldwasser, William Klostermeyer
EUROPAR
1999
Springer
14 years 5 days ago
A New Algorithm for Multi-objective Graph Partitioning
Recently, a number of graph partitioning applications have emerged with additional requirements that the traditional graph partitioning model alone cannot e ectively handle. One s...
Kirk Schloegel, George Karypis, Vipin Kumar
DAM
2007
141views more  DAM 2007»
13 years 7 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall