Packing of three copies of a digraph into the transitive tournament
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 3, pp. 443-456
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In this paper, we show that if the number of arcs in an oriented graph G (of order n) without directed cycles is sufficiently small (not greater than [2/3] n-1), then there exist arc disjoint embeddings of three copies of G into the transitive tournament TTₙ. It is the best possible bound.
Keywords:
packing of digraphs, transitive tournament
@article{DMGT_2004_24_3_a7,
author = {Pil\'sniak, Monika},
title = {Packing of three copies of a digraph into the transitive tournament},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {443--456},
publisher = {mathdoc},
volume = {24},
number = {3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2004_24_3_a7/}
}
Pilśniak, Monika. Packing of three copies of a digraph into the transitive tournament. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 3, pp. 443-456. http://geodesic.mathdoc.fr/item/DMGT_2004_24_3_a7/