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» On Touching Triangle Graphs
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WG
2010
Springer
14 years 10 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
ENDM
2008
82views more  ENDM 2008»
14 years 11 months ago
Finding Folkman Numbers via MAX CUT Problem
In this note we report on our recent work, still in progress, regarding Folkman numbers. Let f(2, 3, 4) denote the smallest integer n such that there exists a K4
Andrzej Dudek, Vojtech Rödl
JCT
2008
81views more  JCT 2008»
14 years 11 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt
ISAAC
1993
Springer
149views Algorithms» more  ISAAC 1993»
15 years 3 months ago
The Complexity of the Optimal Variable Ordering Problems of Shared Binary Decision Diagrams
A binary decision diagram (BDD) is a directed acyclic graph for representing a Boolean function. BDD’s are widely used in various areas which require Boolean function manipulatio...
Seiichiro Tani, Kiyoharu Hamaguchi, Shuzo Yajima
83
Voted
DM
2010
129views more  DM 2010»
14 years 11 months ago
Interpolating between bounds on the independence number
For a non-negative integer T, we prove that the independence number of a graph G = (V, E) in which every vertex belongs to at most T triangles is at least uV f(d(u), T) where d(u)...
Anett Boßecker, Dieter Rautenbach