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 language | English |
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Place of Publication | Enschede |
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Publisher | Universiteit Twente |
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Number of pages | 10 |
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Publication status | Published - 1996 |
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Name | Memorandum |
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Publisher | University of Twente, Department of Applied Mathematics |
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No. | 1310 |
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ISSN (Print) | 0921-1969 |
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