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» Lower Bounds for Kernelizations
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103
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JCO
2008
153views more  JCO 2008»
15 years 24 days 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
119
Voted
CORR
2007
Springer
181views Education» more  CORR 2007»
15 years 24 days 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
67
Voted
JCT
2008
67views more  JCT 2008»
15 years 24 days ago
A lower bound for the length of a partial transversal in a Latin square
Pooya Hatami, Peter W. Shor
41
Voted
CORR
2007
Springer
78views Education» more  CORR 2007»
15 years 23 days ago
A New Lower Bound on Guard Placement for Wireless Localization
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke,...
96
Voted
IPL
2006
114views more  IPL 2006»
15 years 23 days 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...