Geodesic
Infinite Classes of Covering Numbers
Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 385-396

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DOI

Let $D$ be a family of $k$ -subsets (called blocks) of a $v$ -set $X\left( v \right)$ . Then $D$ is a $\left( v,\,k,\,t \right)$ covering design or covering if every $t$ -subset of $X\left( v \right)$ is contained in at least one block of $D$ . The number of blocks is the size of the covering, and the minimum size of the covering is called the covering number. In this paper we consider the case $t\,=\,2$ , and find several infinite classes of covering numbers. We also give upper bounds on other classes of covering numbers.
DOI : 10.4153/CMB-2000-046-9
Mots-clés : 05B40, 05D05 
Bluskov, I.; Greig, M.; Heinrich, K. Infinite Classes of Covering Numbers. Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 385-396. doi: 10.4153/CMB-2000-046-9
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     title = {Infinite {Classes} of {Covering} {Numbers}},
     journal = {Canadian mathematical bulletin},
     pages = {385--396},
     year = {2000},
     volume = {43},
     number = {4},
     doi = {10.4153/CMB-2000-046-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-046-9/}
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