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Displaying similar documents to “Route systems on graphs”

Isomorphisms and traversability of directed path graphs

Hajo Broersma, Xueliang Li (2002)

Discussiones Mathematicae Graph Theory

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The concept of a line digraph is generalized to that of a directed path graph. The directed path graph Pₖ(D) of a digraph D is obtained by representing the directed paths on k vertices of D by vertices. Two vertices are joined by an arc whenever the corresponding directed paths in D form a directed path on k+1 vertices or form a directed cycle on k vertices in D. In this introductory paper several properties of P₃(D) are studied, in particular with respect to isomorphism and traversability....