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On independent triples and vertex-disjoint chorded cycles in graphs. (English) Zbl 1444.05077
Summary: Let \(G\) be a graph, and let \(\sigma_3(G)\) be the minimum degree sum of three independent vertices of \(G\). We prove that if \(G\) is a graph of order at least \(8k+5\) and \(\sigma_3(G)\geq 9k-2\) with \(k\geq 1\), then \(G\) contains \(k\) vertex-disjoint chorded cycles. We also show that the degree sum condition on \(\sigma_3(G)\) is sharp.
05C38 Paths and cycles
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