𝔖 Bobbio Scriptorium
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A note on the four-colourability of pedigrees and its consequences for probability calculations

✍ Scribed by Alun Thomas

Book ID
104641392
Publisher
Springer US
Year
1993
Tongue
English
Weight
282 KB
Volume
3
Category
Article
ISSN
0960-3174

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✦ Synopsis

A graph representing the probabilistic dependences between genotypes of individuals in a pedigree is shown to be four-colourable. The consequences of this for computation of probabilities, using both exact and Markov chain Monte Carlo methods, is discussed. A fourcolouring and triangulation of an inbred section of a pedigree of Red-Crowned Cranes is illustrated.

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We present a technique to generate Cartesian Gaussian bases for electronic configuration and cross-section calculations on molecules. The technique is specially useful for pseudopotential work, when the bases cannot be tabulated because they depend on the specific choice of the pseudopotential.