Geodesic
A note on \(K_{k,k}\)-cross free families
The electronic journal of combinatorics, Tome 15 (2008)
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We give a short proof that for any fixed integer $k$, the maximum number size of a $K_{k,k}$-cross free family is linear in the size of the groundset. We also give tight bounds on the maximum size of a $K_k$-cross free family in the case when ${\cal F}$ is intersecting or an antichain.
DOI : 10.37236/914
Classification : 05D05
Mots-clés : maximum size, \(K_{k,k}\)-cross free family, intersecting family, antichain 
@article{10_37236_914,
     author = {Andrew Suk},
     title = {A note on {\(K_{k,k}\)-cross} free families},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/914},
     zbl = {1159.05051},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/914/}
}
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Andrew Suk. A note on \(K_{k,k}\)-cross free families. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/914

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