G: a connected finite simple graph with vertex set V (G) and edge set E(G). Neighborhood N(v) of v : the set of vertices adjacent to v ∈ V (G). A map p : G̃ → G is a covering of G if p : V (G̃) → V (G) is surjective and p|N(ṽ) : N(ṽ) → N(v) is bijective for ∀v ∈ V (G) and ∀ṽ ∈ p−1(v). It is an n-fold covering if p is n-to-one. A covering p : G̃ → G is regular (or, A-covering) if there is a subgrou...

Soil is one of the most important natural resources covering a large area of the land surface. Soil plays a vital role in biosphere processes, such as energy balance, hydrology, biochemistry, and biological productivity. It supports plants that supply foods, fibers, drugs, and some other human needs. Conversely, desert regions include about one third of earth lands and these regions have increa...

Currently we are moving from desktop applications towards the age of ubiquitous cartography. Therefore we have to consider more specialized map functions like thematic cartography. Mobile mapping will not only be limited to navigation systems or typical LBS functions. There are more specialized map functions like thematic mapping that are interesting and will be important in future web-based ap...

It has been shown that univalent circle packings filling in the complex plane C are unique up to similarities of C. Here we prove that bounded degree branched circle packings properly covering C are uniquely determined, up to similarities of C, by their branch sets. In particular, when branch sets of the packings considered are empty we obtain the earlier result. We also establish a circle pack...

We have constructed a physical map of the chromosomal region containing the cystic fibrosis locus using seven DNA markers and pulsed-field gel electrophoresis methods. The map includes cleavage sites for 8 rare-cutting restriction enzymes and spans over 12 megabases (Mb) of DNA, with one unlinked probe covering an additional 5 Mb. To our knowledge, this is the largest segment of human DNA which...

Currently we are moving from desktop applications towards the age of ubiquitous cartography. Therefore we have to consider more specialized map functions like thematic cartography. Mobile mapping will not only be limited to navigation systems or typical LBS functions. There are more specialized map functions like thematic mapping that are interesting and will be important in future web-based ap...

Atmospheric aerosol properties and land surface reflectance can be retrieved from dual-angle AATSR measurements. In this paper a map of aerosol optical depth at 550 nm covering the Sahel and Southern Sahara region is presented. The map is a composite of thirtytwo 500 km wide AATSR strip-lines acquired throughout March 2003. Verification is performed using the MODIS and MISR global aerosol produ...