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  • Fractional chromatic number of a random subgraph
    Mohar, Bojan, 1956- ; Wu, Hehui
    It is well known that a random subgraph of the complete graph ▫$K_n$▫ has chromatic number ▫$\Theta(n/\log n)$▫ w.h.p. Boris Bukh asked whether the same holds for a random subgraph of any ... ▫$n$▫-chromatic graph, at least in expectation. In this paper it is shown that for every graph, whose fractional chromatic number is at least ▫$n$▫, the fractional chromatic number of its random subgraph is at least ▫$n/(8\log_2(4n))$▫ with probability more than ▫$1-\frac{1}{2n}$▫. This gives the affirmative answer for a strengthening of Bukh's question for the fractional chromatic number.
    Vir: Journal of graph theory. - ISSN 0364-9024 (Vol. 95, no. 3, Nov. 2020, str. 467-472)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 38629635

vir: Journal of graph theory. - ISSN 0364-9024 (Vol. 95, no. 3, Nov. 2020, str. 467-472)
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