Configurations in 4-cycle systems

A 4-cycle system of order n, denoted by 4CS(n), exists if and only if nequivalent to1 (mod 8). There are four configurations which can be formed by two 4-cycles in a 4CS(n). Formulas connecting the number of occurrences of each such configuration in a 4CS(n) are given. The number of occurrences of each configuration is determined completely by the number d of occurrences of the configuration D consisting of two 4-cycles sharing a common diagonal. It is shown that for every nequivalent to1 (mod 8) there exists a 4CS(n) which avoids the configuration D, i.e. for which d=0. The exact upper bound for d in a 4CS(n) is also determined.

Belgrade vs. Serbia: Spatial re-configurations of belonging

This article explores the relationship between the nation, the city, narratives, and belonging in Serbia through an analysis of narratives of a set of 30 interviews with young Belgrade intellectuals aged 23-35. I argue that what appears to be emerging in post-Milosevic Serbia is a new articulation and a new scale of belonging. Most of my informants are mobilising their city identities, moving from a national to an urban perspective. They imaginatively defend their city identity through a discourse that, others' its newcomers, i.e. the rural residents. However, the article is critical of their articulated dichotomous rhetoric of 'Us, the City Cosmopolitans' vs. I Them, the Rural Nationalists' My overall aim is to offer an analysis of the Serbian case, where one sees that the city of Belgrade has become a microcosm and a symbolic expression for modernity, resistance, openness and democracy. However, instead of seeing urbanity as the only locus of modernity, one needs to understand that urbanity does not one-dimensionally lead to the urbanisation of the mind, implying that once you have cities, or live in a city, there is a specific urban, cosmopolitan experience.

Determination of the anomeric configurations of 2,3,4,6-tetra-O-acetyl-D-mannopyranosyl azide

The structures of 2,3,4,6-tetra-O-acetyl-alpha-D-mannopyranosyl azide and 2,3,4,6-tetra-O-acetyl-beta-D-mannopyranosyl azide were determined using X-ray crystallographic and one-dimensional NOESY techniques.