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» Upper and lower Ramsey bounds in bounded arithmetic
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DM
2002
101views more  DM 2002»
13 years 6 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
DM
2008
104views more  DM 2008»
13 years 6 months ago
Improved upper and lower bounds on the feedback vertex numbers of grids and butterflies
We improve upon the best known upper and lower bounds on the sizes of minimal feedback vertex sets in butterflies. Also, we construct new feedback vertex sets in grids so that for...
Florent R. Madelaine, Iain A. Stewart
ESA
1999
Springer
89views Algorithms» more  ESA 1999»
13 years 11 months ago
On the Informational Asymmetry between Upper and Lower Bounds for Ultrametric Evolutionary Trees
Abstract. This paper addresses the informational asymmetry for constructing an ultrametric evolutionary tree from upper and lower bounds on pairwise distances between n given speci...
Ting Chen, Ming-Yang Kao
ICC
2009
IEEE
165views Communications» more  ICC 2009»
14 years 1 months ago
Arbitrarily Tight Upper and Lower Bounds on the Gaussian Q-Function and Related Functions
—We present a new family of tight lower and upper bounds on the Gaussian Q-function Q(x). It is first shown that, for any x, the integrand ϕ(θ; x) of the Craig representation ...
Giuseppe Thadeu Freitas de Abreu
CORR
2007
Springer
144views Education» more  CORR 2007»
13 years 6 months ago
Optimization of Information Rate Upper and Lower Bounds for Channels with Memory
—We consider the problem of minimizing upper bounds and maximizing lower bounds on information rates of stationary and ergodic discrete-time channels with memory. The channels we...
Parastoo Sadeghi, Pascal O. Vontobel, Ramtin Shams