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A local characterization of bounded clique-width for line graphs

It is shown that a line graph G has clique-width at most 8 k + 4 and NLC-width at most 4 k + 3 , if G contains a vertex whose non-neighbours induce a subgraph of clique-width k or NLC-width k in G , respectively. This relation implies that co-gem-free line graphs have clique-width at most 14 and NLC-width at most 7. It is also shown that in a line graph the neighbours of a vertex induce a subgraph of clique-width at most 4 and NLC-width at most 2. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Discrete Mathematics Elsevier
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