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ACPC
1999
Springer
14 years 2 months ago
Non-standard Parallel Solution Strategies for Distributed Sparse Linear Systems
Abstract. A number of techniques are described for solving sparse linear systems on parallel platforms. The general approach used is a domaindecomposition type method in which a pr...
Yousef Saad, Masha Sosonkina
DAGSTUHL
2006
13 years 11 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
GD
2009
Springer
13 years 8 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
13 years 5 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
14 years 3 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