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arXiv · 0905.1394

On Longest Cycle $C$ of a graph $G$ via Structures of $G-C$

Zh. G. Nikoghosyan
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Abstract

Two sharp lower bounds for the length of a longest cycle $C$ of a graph $G$ are presented in terms of the lengths of a longest path and a longest cycle of $G-C$, denoted by $\overline{p}$ and $\overline{c}$, respectively, combined with minimum degree $δ$: (1) $|C|\geq(\overline{p}+2)(δ-\overline{p})$ and (2) $|C|\geq(\overline{c}+1)(δ-\overline{c}+1)$.

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Zh. G. Nikoghosyan. 2009-05-09. On Longest Cycle $C$ of a graph $G$ via Structures of $G-C$. https://arxiv.org/abs/0905.1394

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