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- W2040201663 abstract "Let G be a simple graph of order n and s and k be two positive integers. Brandt et al. obtained the following result: If s ⩽ k , n ⩾ 3 s + 4 ( k - s ) and σ 2 ( G ) ⩾ n + s , then G contains k disjoint cycles C 1 , … , C k satisfying | C i | = 3 for 1 ⩽ i ⩽ s and | C i | ⩽ 4 for s < i ⩽ k . In the above result, the length of C i is not specified for s < i ⩽ k . We get a result specifying the length of C i for each s < i ⩽ k if n ⩾ 3 s + 4 ( k - s ) + 3 ." @default.
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- W2040201663 date "2008-09-01" @default.
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- W2040201663 title "Disjoint triangles and quadrilaterals in a graph" @default.
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