Packing three copies of a tree into its sixth power

Tarak Louleb (), Mohamed Y. Sayar (), Fairouz Beggas () and Hamamache Kheddouci ()
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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

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 2, 558-570

Abstract: 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 .

Keywords: Embedding; Packing; Permutation; Placement; Power tree (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00060-5

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