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Open Access research with a European policy impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the European Policies Research Centre (EPRC).

EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

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On the representability of line graphs

Kitaev, Sergey and Salimov, Pavel and Severs, Christopher and Ulfarsson, Henning (2011) On the representability of line graphs. In: Developments in Language Theory. Lecture Notes in Computer Science . Springer-Verlag Berlin, pp. 478-479. ISBN 978-3-642-22320-4

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Abstract

A graph G = (V,E) is representable if there exists a word W over the alphabet V such that letters x and y alternate in W if and only if (x,y) ∈ E for each x ≠ y. Such a W is called a word-representant of G. Note that in this paper we use the term graph to mean a finite, simple graph, even though the definition of representable is applicable to more general graphs.