On the non-existence of some Steiner $t$-$(v,k)$ trades of certain volumes

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dc.creatorAsgari, Mehri
dc.creatorSoltankhah, Nasrin
dc.date2008-06-09
dc.date.accessioned2026-07-07T09:43:20Z
dc.date.available2026-07-07T09:43:20Z
dc.descriptionMahmoodian and Soltankhah $\cite{MMS}$ conjectured that there does not exist any $t$-$(v,k)$ trade of volume $s_{i}< s <s_{i+1}$, where $s_{i}=2^{t+1}-2^{t-i}, i=0,1,..., t-1$. Also they showed that the conjecture is true for $i=0$. In this paper we prove the correctness of this conjecture for Steiner trades.
dc.description7 pages. to appear in Utilitas Mathematica
dc.identifierhttps://arxiv.org/abs/0806.1390
dc.identifierhttp://arxiv.org/abs/0806.1390
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162521
dc.subjectCombinatorics
dc.subject05B05
dc.titleOn the non-existence of some Steiner $t$-$(v,k)$ trades of certain volumes
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