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» New bounds on a hypercube coloring problem
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IPL
2002
110views more  IPL 2002»
13 years 4 months ago
New bounds on a hypercube coloring problem
In studying the scalability of optical networks, one problem which arises involves coloring the vertices of the n-cube with as few colors as possible such that any two vertices wh...
Hung Q. Ngo, Ding-Zhu Du, Ronald L. Graham
GC
2007
Springer
13 years 4 months ago
Rainbows in the Hypercube
Let Qn be a hypercube of dimension n, that is, a graph whose vertices are binary n-tuples and two vertices are adjacent iff the corresponding n-tuples differ in exactly one posit...
Maria Axenovich, Heiko Harborth, Arnfried Kemnitz,...
SIAMJO
2010
107views more  SIAMJO 2010»
12 years 11 months ago
Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
We consider the problem of minimizing a polynomial on the hypercube [0, 1]n and derive new error bounds for the hierarchy of semidefinite programming approximations to this problem...
Etienne de Klerk, Monique Laurent
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 4 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
ICALP
2005
Springer
13 years 10 months ago
Online Interval Coloring and Variants
We study interval coloring problems and present new upper and lower bounds for several variants. We are interested in four problems, online coloring of intervals with and without b...
Leah Epstein, Meital Levy