In this paper we prove the following result about vertex list colourings, which shows that a conjecture of the first author (1999, J. Graph Theory31, 149–153) is asymptotically correct. Let G be a graph with the sets of lists S(v), satisfying that for every vertex ∣S(v)∣=(1+o(1))d and for each colour c∈S(v), the number of neighbours of v that have c in their list is at most d. Then there exists a proper colouring of G from these lists.
The LOGGER package, consisting of 11 PL/1 program modules, assists geologists to build and rapidly display stratigraphic columns from data collected in the field. The package accepts data in free format and is designed to accommodate a wide range of users' data Nike Free Uk without involving complicated restructuring or transcription. The input format, output format, and commands to the package are described, and its use is illustrated by a simple example.
Antifreeze proteins (AFPs) depress the freezing temperature of a solution in a non-colligative manner, by arresting the growth of ice crystals. The kinetics of this effect, studied here for the first time using a new technique called temperature gradient thermometry, are consistent with an adsorption-mediated inhibitory mechanism. The results obtained by this approach provide a new experimental basis for understanding AFP interaction with Nike Free Run 2.0