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Packing three copies of a tree into its sixth power

Author

Listed:
  • Tarak Louleb

    (Faculty of Science of Sfax)

  • Mohamed Y. Sayar

    (Faculty of Science of Sfax)

  • Fairouz Beggas

    (LIRIS UMR 5205, CNRS, University of Lyon, Claude Bernard Lyon 1 University)

  • Hamamache Kheddouci

    (LIRIS UMR 5205, CNRS, University of Lyon, Claude Bernard Lyon 1 University)

Abstract

A graph H of order n is said to be $$k-placeable$$ k - p l a c e a b l e into a graph G, having the same order n, if G contains k edge-disjoint copies of H. Kaneko et al. [9] proved that any non-star tree T is $$2-placeable$$ 2 - p l a c e a b l e into its third power $$T^3$$ T 3 . In this paper, we give a particular interest on the $$3-placement$$ 3 - p l a c e m e n t of a tree T into its sixth power $$T^6$$ T 6 .

Suggested Citation

  • Tarak Louleb & Mohamed Y. Sayar & Fairouz Beggas & Hamamache Kheddouci, 2021. "Packing three copies of a tree into its sixth power," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(2), pages 558-570, June.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:2:d:10.1007_s13226-021-00060-5
    DOI: 10.1007/s13226-021-00060-5
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    References listed on IDEAS

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    1. Y. Roditty, 1986. "The packing and covering of the complete graph I: the forests of order five," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-6, January.
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