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- W3167201114 abstract "Let $L_{c,n}$ denote the size of the longest cycle in $G(n,{c}/{n})$, $c>1$ constant. We show that there exists a continuous function $f(c)$ such that $ L_{c,n}/n to f(c)$ a.s. for $cgeq 20$, thus extending a result of Frieze and the author to smaller values of $c$. Thereafter, for $cgeq 20$, we determine the limit of the probability that $G(n,c/n)$ contains cycles of every length between the length of its shortest and its longest cycles as $nto infty$." @default.
- W3167201114 created "2021-06-22" @default.
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- W3167201114 date "2023-05-05" @default.
- W3167201114 modified "2023-10-01" @default.
- W3167201114 title "A Note on Long Cycles in Sparse Random Graphs" @default.
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- W3167201114 doi "https://doi.org/10.37236/11471" @default.
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