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Line graphs, their Desarguesian closures, and corresponding groups of automorphisms

Jankowska B., Prażmowska M., Prażmowski K.

Demonstratio Mathematica

2007

Vol. 40, nr 4

971-986

The notion of Desarguesian closure of an arbitrary graph was introduced in [7], and basic properties of Desarguesian closure of complete graphs were also presented in [7]. Then, in [4], the Desarguesian closure of binomial graphs (cf. [5]) was studied. In this paper we shall be mainly concerned with the line graphs associated with complete graphs, their Desarguesian closure, horizon, and automorphisms.