Geodesic
On exact extensions of tournaments
Prikladnaâ diskretnaâ matematika, no. 10 (2009)

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Graph $G^{*}=(V^{*},\alpha)$ is said to be an exact $k$-extension of a graph $G=(V,\alpha)$ if every graph obtained by removing any $k$ vertexes from $G^{*}$ and graph $G$ are isomorphic. We study the problem of constructing exact $k$-extension of tournaments. Two families of tournaments with their exact extensions are presented. Further, we introduce a special graph operation that helps to construct exact extensions using two other families. 
@article{PDM_2009_10_a50,
     author = {A. A. Dolgov},
     title = {On exact extensions of tournaments},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {98},
     publisher = {mathdoc},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2009_10_a50/}
}
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A. A. Dolgov. On exact extensions of tournaments. Prikladnaâ diskretnaâ matematika, no. 10 (2009). http://geodesic.mathdoc.fr/item/PDM_2009_10_a50/