Labeled Embedding Of (n, n-2)-Graphs In Their Complements
Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 4, pp. 1015-1025

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Graph packing generally deals with unlabeled graphs. In [4], the authors have introduced a new variant of the graph packing problem, called the labeled packing of a graph. This problem has recently been studied on trees [M.A. Tahraoui, E. Duchêne and H. Kheddouci, Labeled 2-packings of trees, Discrete Math. 338 (2015) 816-824] and cycles [E. Duchˆene, H. Kheddouci, R.J. Nowakowski and M.A. Tahraoui, Labeled packing of graphs, Australas. J. Combin. 57 (2013) 109-126]. In this note, we present a lower bound on the labeled packing number of any (n, n − 2)-graph into Kn. This result improves the bound given by Woźniak in [Embedding graphs of small size, Discrete Appl. Math. 51 (1994) 233-241].
Keywords: packing of graphs, labeled packing, permutation
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Tahraoui, M.-A.; Duchêne, E.; Kheddouci, H. Labeled Embedding Of (n, n-2)-Graphs In Their Complements. Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 4, pp. 1015-1025. http://geodesic.mathdoc.fr/item/DMGT_2017_37_4_a11/