University of West Georgia

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20032011

most citedVariable selection in nonparametric additive models

555 citations

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math.CO2005

On the degree of regularity of generalized van der Waerden triples

Nikos Frantzikinakis, Bruce Landman, Aaron Robertson

Let $1 \leq a \leq b$ be integers. A triple of the form $(x, a x + d, b x + 2 d)$ , where $x, d$ are positive integers is called an {\em (a,b)-triple}. The {\em degree of regularity} of the f…

math.CO2005★ 26 cited

Some New Exact van der Waerden Numbers

Bruce Landman, Aaron Robertson, Clay Culver

For positive integers $r, k_{0}, k_{1}, ..., k_{r - 1},$ the van der Waerden number $w (k_{0}, k_{1}, ..., k_{r - 1})$ is the least positive integer $n$ such that whenever ${1, 2, ..., n}$ is partition…

math.CO2003

On the graph-density of random 0/1-polytopes

Volker Kaibel, Anja Remshagen

Let X_{d,n} be an n-element subset of {0,1}^d chosen uniformly at random, and denote by P_{d,n} := conv X_{d,n} its convex hull. Let D_{d,n} be the density of the graph of P_{d,n}…