On the structure of (P5,gem)-free graphs

Authors:
Andreas Brandstädt;Dieter Kratsch
Affiliations:
Fachbereich Informatik, Universität Rostock, A.-Einstein-Str. 21, D-18051 Rostock, Germany;Université de Metz, Laboratoire d'Informatique Théorique et Appliquée, 57045 Metz Cedex 01, France
Venue:
Discrete Applied Mathematics - Structural decompositions, width parameters, and graph labelings (DAS 5)
Year:
2005

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Abstract

We give a complete structure description of (P5,gem)-free graphs. By the results of a related paper, this implies bounded clique width for this graph class. Hereby, as usual, the P5 is the induced path with five vertices a, b, c, d, e and four edges ab, bc, cd, de, and the gem consists of a P4 a, b, c, d with edges ab, bc, cd plus a universal vertex e adjacent to a, b, c, d.