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JCO
2008
153views more  JCO 2008»
15 years 4 months ago
A quadratic lower bound for colourful simplicial depth
We show that any point in the convex hull of each of (d + 1) sets of (d + 1) points in Rd is contained in at least (d + 2)2 /4 simplices with one vertex from each set.
Tamon Stephen, Hugh Thomas
CORR
2007
Springer
181views Education» more  CORR 2007»
15 years 4 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani
CORR
2007
Springer
78views Education» more  CORR 2007»
15 years 4 months ago
A New Lower Bound on Guard Placement for Wireless Localization
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke,...
IPL
2006
114views more  IPL 2006»
15 years 4 months ago
Quantum lower bounds for the Goldreich-Levin problem
At the heart of the Goldreich-Levin Theorem is the problem of determining an n-bit string a by making queries to two oracles, referred to as IP (inner product) and EQ (equivalence...
Mark Adcock, Richard Cleve, Kazuo Iwama, Raymond H...