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» Obstacle Numbers of Graphs
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ENDM
2007
91views more  ENDM 2007»
13 years 7 months ago
On facets of stable set polytopes of claw-free graphs with stability number three
Providing a complete description of the stable set polytopes of claw-free graphs is a longstanding open problem since almost twenty years. Eisenbrandt et al. recently achieved a b...
Arnaud Pêcher, Pierre Pesneau, Annegret Wagl...
ISAAC
2009
Springer
87views Algorithms» more  ISAAC 2009»
14 years 14 days ago
Parameterizing Cut Sets in a Graph by the Number of Their Components
For a connected graph G = (V, E), a subset U ⊆ V is called a k-cut if U disconnects G, and the subgraph induced by U contains exactly k (≥ 1) components. More specifically, a ...
Takehiro Ito, Marcin Kaminski, Daniël Paulusm...
JGT
2010
158views more  JGT 2010»
13 years 6 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
COMBINATORICS
2000
100views more  COMBINATORICS 2000»
13 years 7 months ago
Separability Number and Schurity Number of Coherent Configurations
To each coherent configuration (scheme) C and positive integer m we associate a natural scheme C(m) on the m-fold Cartesian product of the point set of C having the same automorph...
Sergei Evdokimov, Ilia N. Ponomarenko
SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 7 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka