Unavoidable set of face types for planar maps
Mirko Horňák ; Stanislav Jendrol
Discussiones Mathematicae Graph Theory, Tome 16 (1996), p. 123-141 / Harvested from The Polish Digital Mathematics Library
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The type of a face f of a planar map is a sequence of degrees of vertices of f as they are encountered when traversing the boundary of f. A set 𝒯 of face types is found such that in any normal planar map there is a face with type from 𝒯. The set 𝒯 has four infinite series of types as, in a certain sense, the minimum possible number. An analogous result is applied to obtain new upper bounds for the cyclic chromatic number of 3-connected planar maps.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:270552 
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Mirko Horňák; Stanislav Jendrol. Unavoidable set of face types for planar maps. Discussiones Mathematicae Graph Theory, Tome 16 (1996) pp. 123-141. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1028/

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