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ArticleOriginal scientific text

Title

Unavoidable set of face types for planar maps

Authors 1, 1

Affiliations

  1. Department of Geometry and Algebra, P. J. Šafárik University

Abstract

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 of face types is found such that in any normal planar map there is a face with type from . The set 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.

Keywords

ENG
normal planar map, plane graph, type of a face, unavoidable set, cyclic chromatic number

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Discussiones Mathematicae Graph Theory
1996/16/2
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Pages:
123-141
Main language of publication
English
Received
1996-04-09
Published
1996
Exact and natural sciences