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» On the Grundy Number of a Graph
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DAGSTUHL
2006
15 years 7 months ago
Very Large Cliques are Easy to Detect
It is known that, for every constant k 3, the presence of a k-clique (a complete subgraph on k vertices) in an n-vertex graph cannot be detected by a monotone boolean circuit usi...
Alexander E. Andreev, Stasys Jukna
IPL
2010
134views more  IPL 2010»
15 years 1 months ago
Parameterized algorithm for eternal vertex cover
In this paper we initiate the study of a "dynamic" variant of the classical Vertex Cover problem, the Eternal Vertex Cover problem introduced by Klostermeyer and Mynhard...
Fedor V. Fomin, Serge Gaspers, Petr A. Golovach, D...
VL
2010
IEEE
261views Visual Languages» more  VL 2010»
15 years 4 months ago
Euler Graph Transformations for Euler Diagram Layout
— Euler diagrams are frequently used for visualizing information about collections of objects and form an important component of various visual languages. Properties possessed by...
Peter Rodgers, Gem Stapleton, John Howse, Leishi Z...
GD
2009
Springer
15 years 4 months ago
Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs
Abstract. The study of (minimally) rigid graphs is motivated by numerous applications, mostly in robotics and bioinformatics. A major open problem concerns the number of embeddings...
Ioannis Z. Emiris, Elias P. Tsigaridas, Antonios V...
FOCS
2002
IEEE
15 years 11 months ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth