Let r, s and t be integers and let c(r) be such that every graph G with at least c(r)|G| edges has a Kr minor. We prove that there is a function fr,s,t(n), with fr,s,t(n)=o(n) as n→∞, such that every graph of order n and having at least (c(r)+s?1)n+fr,s,t(n) edges contains either t disjoint Kr minors or a Ks,t minor.
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机译:令r,s和t为整数,令c(r)使得每个图G至少具有c(r)| G |。边缘有一个Kr小调。我们证明存在一个函数fr,s,t(n),其中fr,s,t(n)= o(n)为n→∞,使得n阶的每个图至少具有(c(r )+ s?1)n + fr,s,t(n)边包含t个不相交的Kr次要或Ks,t次要。
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