A graphG = (V,E) is word-representable if there exists a word w over the alphabet V such that letters x and y alternate in w if and only if xy is an edge in E. Word-representable graphs are the main focus in “Words and Graphs” by Kitaev and Lozin. A word w = w1 · · ·wn avoids the pattern 132 if there are no 1 ≤ i1 < i2 < i3 ≤ n such that wi1 < wi3 < wi2. A recently suggested research direction ...

v < va. In the other extreme, when v ˆ 0:4 arcsec, the magnetic ®eld from the magnetar would be negligible, but the inferred ®eld strength can be easily explained as arising from compression of the ambient ®eld by the bow shock. The mean expansion speed of the nebula is 3:5 3 1010d5v4t 2 1 10 cm s 2 1 where t10 is the age of the nebula in units of 10 days. Thus in the limit of v ˆ 0:4 arcsec th...

We study generating functions for the number of involutions of length n avoiding (or containing exactly once) 132 and avoiding (or containing exactly once) an arbitrary permutation τ of length k. In several interesting cases these generating functions depend only on k and can be expressed via Chebyshev polynomials of the second kind. In particular, we show that involutions of length n avoiding ...

likely than nonusers to engage in risky sexual behavior and that they are less likely than nonusers to rely on condoms. In some studies, condom use has been treated as one component of a sexual-risk index, which is then related to substance use. In other research, condom use has been treated as a separate independent variable, which is then related to substance use directly. In this article, we...

The aim of this review is to examine two factors that may be associated with development of childhood overweight: early feeding, namely exclusive breastfeeding practices; family structure. Findings from the Identification and prevention of Dietaryand lifestyle-induced health EFfects In Children and infantS (IDEFICS) study are presented in the context of the literature. IDEFICS is a multi-centre...

Psoriasis is a immune mediated disease that affects skin characterized by hyperproliferation and inflammation of the skin. It is the most common chronic inflammatory skin disease, affecting about 2% of the general population. Skin is a major target of oxidative stress due to reactive oxygen species (ROS). This study was aimed to show that ROS play a significant role in pathogenesis of psoriasis...

The rapid growth in the number of users of mobile communications means that many operators must find new ways of increasing the capacity of their networks. Their options include allocating more frequency, introducing frequency-hopping techniques, and adding microcells and adaptive antenna systems. The introduction of new frequency bands at 1800 and 1900 MHz is an example of allocating frequency...