We develop the Turán sieve and a ‘simple sieve’ in the context of bipartite graphs and apply them to various problems in combinatorics. More precisely, we provide applications in the cases of characters of abelian groups, vertex-colourings of graphs, Latin squares, connected graphs, and generators of groups. In addition, we give a spectral interpretation of the Turán sieve. © 2004 Elsevier Inc....

This paper deals with variations of the Quadratic Sieve integer factoring algorithm. We describe what we believe is the rst implementation of the Hypercube Multiple Polynomial Quadratic Sieve with two large primes, We have used this program to factor many integers with up to 116 digits. Our program appears to be many times faster than the (non-hypercube) Multiple Polynomial Quadratic Sieve with...

In this paper, we describe many improvements to the number field sieve. Our main contribution consists of a new way to compute individual logarithms with the number field sieve without solving a very large linear system for each logarithm. We show that, with these improvements, the number field sieve outperforms the gaussian integer method in the hundred digit range. We also illustrate our resu...

This review concerns plant pathogenic bacteria, which are strictly restricted either to the sieve tubes in the phloem or to the vessels in the xylem. These bacteria are endogenous as opposed to exogenous bacteria such as species of Erwinia , Pseudomonas , Ralstonia or Xanthomonas , which colonize the apoplast (intercellular spaces) of plant tissues, even though some of the exogenous bacteria, s...

nowadays distillation is recognized as one of the economical and the most trustable separation methods in chemical, petroleum, gas and petrochemical industries. it is almost used as a first and the most applicable choice in separation methods. in this article the effect of inlet downcomer on the hydrodynamics of industrial sieve tray has been elaborated. the study was carried out by using a 3-d...

One of the possible ways to increase efficiency cleaning separation could be grain fortification heap feeding chaffer sieve and intensification sifting through this sieve. This direction makes it develop air-sieve with pneumatic inertia separator for high-producing combine harvester. Cleaning improvement will provide agricultural production equipment higher agrotechnical capabilities lower mate...