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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
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...
DAM
2011
15 years 1 months ago
Independence in connected graphs
We prove that if G = (VG, EG) is a finite, simple, and undirected graph with κ components and independence number α(G), then there exist a positive integer k ∈ N and a functi...
Jochen Harant, Dieter Rautenbach
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