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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.

Desarguesian closure of binomial graphs

Klimczak A., Prażmowska M.

Demonstratio Mathematica

2006

Vol. 39, nr 2

245-253

In the paper we study configurations which are obtained as Desarguesian closure of binomial graphs. Their parameters are calculated, and their automorphisms are determined.