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- W2024581385 abstract "A graph is said to have property P(k,l)(k ⩾ l) if for any X ∈ (Gk) there exists a cycle such that |X ∩ V(C)| = l. Obviously an n-connected graph (n ⩾ 2) satisfies P(n,n). In this paper, we study parameters k and l such that every n-connected graph satisfies P(k,l). We show that for r = 1 or 2 every n-connected graph satisfies P(n + r,n). For r = 3, there are infinitely many 3-connected graphs that do not satisfy P(6,3). However, if n ⩾ max{3,(2r −1)(r + 1)}, then every n-connected graph satisfies P(n + r,n)." @default.
- W2024581385 created "2016-06-24" @default.
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- W2024581385 date "1991-12-01" @default.
- W2024581385 modified "2023-09-24" @default.
- W2024581385 title "Cycles intersecting a prescribed vertex set" @default.
- W2024581385 cites W2058264792 @default.
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- W2024581385 doi "https://doi.org/10.1002/jgt.3190150609" @default.
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