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Some Conditions for the Existence of (d,k)-Digraphs

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Combinatorial Geometry and Graph Theory (IJCCGGT 2003)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3330))

Abstract

A (d,k)-digraph is a diregular digraph of degree d ≥ 4, diameter k ≥ 3 and the number of vertices d + d 2 + ... + d k. The existence problem of (d,k)-digraphs is one of difficult problem. In this paper, we will present some new necessary conditions for the existence of such digraphs.

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© 2005 Springer-Verlag Berlin Heidelberg

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Cholily, Y.M., Baskoro, E.T., Uttunggadewa, S. (2005). Some Conditions for the Existence of (d,k)-Digraphs. In: Akiyama, J., Baskoro, E.T., Kano, M. (eds) Combinatorial Geometry and Graph Theory. IJCCGGT 2003. Lecture Notes in Computer Science, vol 3330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30540-8_9

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  • DOI: https://doi.org/10.1007/978-3-540-30540-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24401-1

  • Online ISBN: 978-3-540-30540-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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