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» Graphs, partitions and Fibonacci numbers
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CPC
2004
136views more  CPC 2004»
14 years 11 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
15 years 4 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»
14 years 11 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
15 years 3 months 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»
14 years 11 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