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- W3134055866 abstract "For a given class ${cal C}$ of graphs and given integers $m le n$, let $f_{cal C}(n,m)$ be the minimal number $k$ such that every $k$ independent $n$-sets in any graph belonging to ${cal C}$ have a (possibly partial) rainbow independent $m$-set. In this paper, we consider the case ${cal C}={C_{2s+1}}$ and show that $f_{C_{2s+1}}(s, s) = s$. Our result is a special case of the conjecture (Conjecture 2.9) proposed by Aharoni et al in cite{Aharoni}." @default.
- W3134055866 created "2021-03-15" @default.
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- W3134055866 date "2021-03-09" @default.
- W3134055866 modified "2023-09-26" @default.
- W3134055866 title "Rainbow Independent Sets in Cycles" @default.
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