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Contraction of the matrix unit disk

โœ Scribed by Binyamin Schwarz; Abraham Zaks


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
250 KB
Volume
84
Category
Article
ISSN
0024-3795

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Harmonic automorphisms of the unit disk
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Let H be the class of harmonic automorphisms of the unit disk D. The function F =h-g associated with f =h+ g โˆˆ H maps D conformally onto a horizontally convex domain . Conversely, given both f โˆˆ H and F with F(D) = can be retrieved (Theorem 1). Compact subclasses H(M ) โŠ‚ H consisting of Poisson exte

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## Abstract Motivated by a satellite communications problem, we consider a generalized coloring problem on unit disk graphs. A coloring is __k__โ€improper if no more than __k__ neighbors of every vertex have the same colour as that assigned to the vertex. The __k__โ€improper chromatic number ฯ‡^__k__^