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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
MFCS
1993
Springer
15 years 10 months ago
The Complexity of Finding Replicas Using Equality Tests
We prove (for fixed k) that at least 1 k−1 (n 2 ) − O(n) equality tests and no more than 2 k (n 2 )+O(n) equality tests are needed in the worst case to determine whether a giv...
Gudmund Skovbjerg Frandsen, Peter Bro Miltersen, S...
DCC
2010
IEEE
15 years 6 months ago
The maximum size of a partial 3-spread in a finite vector space over GF(2)
Let n 3 be an integer, let Vn(2) denote the vector space of dimension n over GF(2), and let c be the least residue of n modulo 3. We prove that the maximum number of 3-dimensional...
Saad El-Zanati, H. Jordon, G. F. Seelinger, Papa S...
EUROPAR
2001
Springer
15 years 10 months ago
Parallel Implementation of a Block Algorithm for Matrix 1-Norm Estimation
Abstract. We describe a parallel Fortran 77 implementation, in ScaLAPACK style, of a block matrix 1-norm estimator of Higham and Tisseur. This estimator differs from that underlyi...
Sheung Hun Cheng, Nicholas J. Higham
JGT
2010
57views more  JGT 2010»
15 years 4 months ago
NZ-flows in strong products of graphs
: We prove that the strong product G1 G2 of G1 and G2 is Z3-flow contractible if and only if G1 G2 is not T K2, where T is a tree (we call T K2 a K4-tree). It follows that G1 G2 ad...
Wilfried Imrich, Iztok Peterin, Simon Spacapan, Cu...