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...
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...
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...
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...
: 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...