We consider the problem Scattered Cycles which, given a graph G and two positive integers r and `, asks whether G contains a collection of r cycles that are pairwise at distance at least `. This problem generalizes the problem Disjoint Cycles which corresponds to the case ` = 1. We prove that when parameterized by r, `, and the maximum degree ∆, the problem Scattered Cycles admits a kernel on 2...

A class of toposes is introduced and studied, suitable for semantical analysis of an extension of the Heyting predicate calculus admitting GG odel's provability interpretation .

Angiocardiography is an X-ray examination of the blood vessels or chambers of the heart. Cardiologists and staff members applying this procedure are exposed to high levels of scattered radiation. In our previous study the incidence of unstable chromosomal aberrations and cytokinesis-blocked micronuclei were found to be significantly higher in exposed individuals than the age and sex matched con...

Within the Standard Model (SM) the production of multilepton events in ep collisions is possible mainly through photon-photon interactions, where quasi-real photons radiated from the incident electron and proton interact to produce a pair of leptons γγ → ll [4]. The GRAPE Monte Carlo generator [5] interfaced to full detector simulation has been used to simulate multilepton production. This gene...

Given a finite point set Z ⊂ R, the covering radius of a nonempty subset X ⊂ Z is the minimum distance rX,Z such that every point in Z is at a distance of at most rX,Z from some point in X. This paper concerns the construction of a sequence of subsets of decreasing sizes, such that their covering radii are small. To this end, a method for progressive data reduction, referred to as scattered dat...

he man sure had a palate covered o'er / With brass or steel, that on the rocky shore / First broke the oozy oyster's pearly coat / And risk'd the living morsel down his throat, " wrote John Gay (1685–1732), one of many poets since antiquity who became fascinated with the subject. More recently, Irish bard Seamus Heaney after enjoying fresh oysters with some friends, was so moved that he wrote a...