Switching with more than two colours

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Switching with more than two colours

The operation of switching a finite graph was introduced by Seidel, in the study of strongly regular graphs. We may conveniently regard a graph as being a 2-colouring of a complete graph; then the extension to switching of an m-coloured complete graph is easy to define. However, the situation is very different. For m > 2, all m-coloured graphs lie in the same switching class. However, there are...

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Colouring isonemal fabrics with more than two colours by thin striping

Perfect colouring of isonemal fabrics by thin striping of warp and weft with more than two colours is examined. Examples of thin striping in all possible species with no redundancy and with redundant cells arranged as twills are given. Colouring woven flat tori is discussed.

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Colouring isonemal fabrics with more than two colours by thick striping

Perfect colouring of isonemal fabrics by thin and thick striping of warp and weft with more than two colours is introduced. Conditions that prevent perfect colouring by striping are derived, and it is shown that avoiding the preventing conditions is sufficient to allow perfect colouring. Examples of thick striping in all possible species are

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2004

ISSN: 0195-6698

DOI: 10.1016/s0195-6698(03)00097-0