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» New Lower Bounds for Heilbronn Numbers
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SIAMDM
2008
140views more  SIAMDM 2008»
13 years 7 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 5 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
EOR
2006
104views more  EOR 2006»
13 years 7 months ago
An linear programming based lower bound for the simple assembly line balancing problem
The simple assembly line balancing problem is a classical integer programming problem in operations research. A set of tasks, each one being an indivisible amount of work requirin...
Marc Peeters, Zeger Degraeve
GLOBECOM
2010
IEEE
13 years 5 months ago
Layered Tabu Search Algorithm for Large-MIMO Detection and a Lower Bound on ML Performance
In this paper, we are concerned with low-complexity detection in large multiple-input multiple-output (MIMO) systems with tens of transmit/receive antennas. Our new contributions i...
N. Srinidhi, Tanumay Datta, Ananthanarayanan Chock...
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
14 years 1 months ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel