We provide a deterministic algorithm that finds, in $\epsilon^{-O(1)} n^2$ time, an $\epsilon$-regular Frieze-Kannan partition of a graph on $n$ vertices. The algorithm outputs an approximation of a given graph as a weighted sum of $\epsilon^{-O(1)}$ many complete bipartite graphs. As a corollary, we give a deterministic algorithm for estimating the number of copies of $H$ in an $n$-vertex grap...

We developed the operators ideal in this article by extending s -soft reals and a particular space of sequences with soft real numbers. The criteria necessary for Nakano sequence numbers given definite function to be prequasi Banach closed are investigated. This space’s ( id="M2"> R ) normal structural features ...

The idea of enriched mappings in normed spaces is relatively a newer idea. In this paper, we initiate the study modular function spaces. We first introduce concepts ρ-contractions and ρ-Kannan then establish some Banach Contraction Principle type theorems for existence fixed points such setting. Our results are generalizations corresponding from to those contractions ρ-contractions. make ever a...

Motivated by long-standing conjectures on the discretization of classical inequalities in Geometry Numbers, we investigate a new set parameters, which call \emph{packing minima}, associated to convex body $K$ and lattice $\Lambda$. These numbers interpolate between successive minima inverse polar $K$, can be understood as packing counterparts covering Kannan & Lov\'{a}sz (1988). As our main res...

in this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. we introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.

We study the problem of sampling contingency tables (nonnegative integer matrices with specified row and column sums) uniformly at random. We give an algorithm which runs in polynomial time provided that the row sums ri and the column sums cj satisfy ri (n 3/ m log m), and cj (m 3/ n log n). This algorithm is based on a reduction to continuous sampling from a convex set. The same approach was t...

One major risk factor for cutaneous melanoma is ultraviolet (UV) exposure. Intense intermittent UV exposure and childhood sunburn are linked epidemiologically with melanoma risk, and in mice neonatal UV exposure promotes development of cutaneous melanoma (Noonan et al., 2001; Kannan et al., 2003). Other evidence that UV contributes to melanomagenesis includes increased risk for populations with...

Journal of Marketing Research Vol. XLII (February 2005), 30–42 *Wilfred Amaldoss is Associate Professor of Marketing, Fuqua School of Business, Duke University (e-mail: [email protected]). Sanjay Jain is Associate Professor of Marketing, Robert H. Smith School of Business, University of Maryland (e-mail: [email protected]). Both authors contributed equally to the article. The author...