Efficient covering designs of the complete graph
The electronic journal of combinatorics, Tome 4 (1997) no. 1
Let $H$ be a graph. We show that there exists $n_0=n_0(H)$ such that for every $n \geq n_0$, there is a covering of the edges of $K_n$ with copies of $H$ where every edge is covered at most twice and any two copies intersect in at most one edge. Furthermore, the covering we obtain is asymptotically optimal.
DOI :
10.37236/1295
Classification :
05B05, 05B40, 05B30, 51E05, 94C30, 62K05, 62K10
Mots-clés : covering
Mots-clés : covering
@article{10_37236_1295,
author = {Yair Caro and Raphael Yuster},
title = {Efficient covering designs of the complete graph},
journal = {The electronic journal of combinatorics},
year = {1997},
volume = {4},
number = {1},
doi = {10.37236/1295},
zbl = {0885.05019},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1295/}
}
Yair Caro; Raphael Yuster. Efficient covering designs of the complete graph. The electronic journal of combinatorics, Tome 4 (1997) no. 1. doi: 10.37236/1295
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