Mathematika: Volume 10 - | Cambridge Core

On the embedding of complete graphs in orientable surfaces
D. E. Cohen, F. Harary, Y. Kodama
Published online by Cambridge University Press:

26 February 2010, pp. 79-83
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Our purpose is to develop a new and simple procedure for embedding graphs into orientable surfaces. This will involve the identification of the oriented edges of two oriented polygons, subject to certain rules.

Multiple packing of spherical caps
N. M. Blachman, L. Few
Published online by Cambridge University Press:

26 February 2010, pp. 84-88
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Let be a set of points on a sphere, centre O, radius R, in (n+1)– dimensional space. Suppose a spherical cap of angular radius α≤½π is centred at each point of . Let k be a positive integer and suppose that no point of the sphere is an inner point of more than k caps. We say that provides a k–fold packing for caps of radius α.

Mathematika