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» Graphs, partitions and Fibonacci numbers
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GFKL
2005
Springer
95views Data Mining» more  GFKL 2005»
13 years 11 months ago
An Indicator for the Number of Clusters: Using a Linear Map to Simplex Structure
Abstract. The problem of clustering data can be formulated as a graph partitioning problem. In this setting, spectral methods for obtaining optimal solutions have received a lot of...
Marcus Weber, Wasinee Rungsarityotin, Alexander Sc...
SOFSEM
2005
Springer
13 years 11 months ago
Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one s...
Radoslav Fulek, Hongmei He, Ondrej Sýkora, ...
DM
2000
99views more  DM 2000»
13 years 6 months ago
Chromatically unique bipartite graphs with low 3-independent partition numbers
For integers p; q; s with p
Feng Ming Dong, Khee Meng Koh, Kee L. Teo, Charles...
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 6 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 5 months ago
Approximating the Domatic Number
A set of vertices in a graph is a dominating set if every vertex outside the set has a neighbor in the set. The domatic number problem is that of partitioning the vertices of a gra...
Uriel Feige, Magnús M. Halldórsson, ...