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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.
##### MSC:
 05C38 Paths and cycles
##### Keywords:
degree sum condition; chorded cycle
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##### References:
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