Article ID Journal Published Year Pages File Type
4647356 Discrete Mathematics 2014 31 Pages PDF
Abstract

An inactive label in a clique-width expression cannot be used to create edges, and vertices that are labelled inactive have already received their incident edges. We study properties of clique-width expressions with inactive labels. The main results are: a characterisation of the distance-hereditary graphs by their clique-width expressions, a characterisation of the linear clique-width of disconnected graphs, and the complete set of disconnected minimal graphs of linear clique-width at least 4.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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