Directed path graphs

Hajo Broersma, Xueliang Li

Research output: Book/ReportReportProfessional

22 Citations (Scopus)
306 Downloads (Pure)

Abstract

The concept of a line digraph is generalized to that of a directed path graph. The directed path graph $\overrightarrow P_k(D)$ 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. Several properties of $\overrightarrow P_k(D)$ are studied, in particular with respect to isomorphism and traversability.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente
Number of pages10
Publication statusPublished - 1996

Publication series

NameMemorandum
PublisherUniversity of Twente, Department of Applied Mathematics
No.1310
ISSN (Print)0921-1969

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