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Published in:
1990 | OriginalPaper | Chapter
Independent Covers in Plane Graphs
Author : M. M. Syslo
Published in: Topics in Combinatorics and Graph Theory
Publisher: Physica-Verlag HD
Included in: Professional Book Archive
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A subset W of vertices of a plane graph G is said to be a face-independent vertex cover (FIVC) if each face-boundary contains exactly one vertex of W. A FIVC naturally corresponds to a vertex-independent face cover (VIFC) in the dual graph G* of G. In this paper we review the results on the existence of such covers in arbitrary planar graphs and in outerplanar graphs, in particular.