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EJC
2006
13 years 9 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen
JCT
2007
134views more  JCT 2007»
13 years 9 months ago
Improved Delsarte bounds for spherical codes in small dimensions
ABSTRACT. We present an extension of the Delsarte linear programming method for spherical codes. For several dimensions it yields improved upper bounds including some new bounds on...
Florian Pfender
ORL
2007
81views more  ORL 2007»
13 years 9 months ago
An improved probability bound for the Approximate S-Lemma
The purpose of this note is to give a probability bound on symmetric matrices to improve an error bound in the Approximate S-Lemma used in establishing levels of conservatism resu...
Kürsad Derinkuyu, Mustafa Ç. Pinar, Ah...
DM
2006
70views more  DM 2006»
13 years 9 months ago
Improving probability bounds by optimization over subsets
The simple device of maximization over subsets of events can provide substantial improvement over the Dawson
Fred M. Hoppe
CPC
2011
215views Education» more  CPC 2011»
13 years 4 months ago
An Improved Bound for k-Sets in Four Dimensions
We show that the number of halving sets of a set of n points in R4 is O n4−1/18 , improving the previous bound of [9] with a simpler (albeit similar) proof.
Micha Sharir