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» Graphs, partitions and Fibonacci numbers
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GFKL
2005
Springer
95views Data Mining» more  GFKL 2005»
15 years 4 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
15 years 4 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»
14 years 11 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»
14 years 11 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»
14 years 10 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, ...