Opuscula Math. 31, no. 4 (2011), 599-604
http://dx.doi.org/10.7494/OpMath.2011.31.4.599

 
Opuscula Mathematica

Open trails in digraphs

Sylwia Cichacz
Agnieszka Görlich

Abstract. It has been shown in [S. Cichacz, A. Görlich, Decomposition of complete bipartite graphs into open trails, Preprint MD 022, (2006)] that any bipartite graph \(K_{a,b}\), is decomposable into open trails of prescribed even lengths. In this article we consider the corresponding question for directed graphs. We show that the complete directed graphs \(\overleftrightarrow{K}_n\) and \(\overleftrightarrow{K}_{a,b}\) are arbitrarily decomposable into directed open trails.

Keywords: trail, graphdecomposition, bipartite graph.

Mathematics Subject Classification: 05C70.

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  • Sylwia Cichacz
  • AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
  • Agnieszka Görlich
  • AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
  • Received: 2009-12-07.
  • Revised: 2010-09-29.
  • Accepted: 2010-10-13.
Opuscula Mathematica - cover

Cite this article as:
Sylwia Cichacz, Agnieszka Görlich, Open trails in digraphs, Opuscula Math. 31, no. 4 (2011), 599-604, http://dx.doi.org/10.7494/OpMath.2011.31.4.599

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