Perfect colorings of patterns with multiple orbits-Reference-Cited by-同舟云学术

Perfect colorings of patterns with multiple orbits

Published:2019-10-07 Issue:6 Volume:75 Page:814-826
ISSN:2053-2733
Container-title:Acta Crystallographica Section A Foundations and Advances
language:
Short-container-title:Acta Cryst Sect A

Author:

Junio Allan,Walo Ma. Lailani

Abstract

This paper studies colorings of patterns with multiple orbits, particularly those colorings where the orbits share colors. The main problem is determining when such colorings become perfect. This problem is attacked by characterizing all perfect colorings of patterns through the construction of sufficient and necessary conditions for a coloring to be perfect. These results are then applied on symmetrical objects to construct both perfect and non-perfect colorings.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Link

http://journals.iucr.org/a/issues/2019/06/00/eo5100/eo5100.pdf

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