On the representability of line graphs

Kitaev, Sergey and Salimov, Pavel and Severs, Christopher and Ulfarsson, Henning; Mauri, Giancarlo and Leporati, Alberto, eds. (2011) On the representability of line graphs. In: Developments in Language Theory. Lecture Notes in Computer Science . Springer-Verlag Berlin, GBR, pp. 478-479. ISBN 978-3-642-22320-4 (https://doi.org/10.1007/978-3-642-22321-1_46)

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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.