Counting Hamiltonian cycles in planar triangulations
نویسندگان
چکیده
Hakimi, Schmeichel, and Thomassen (1979) [10] conjectured that every 4-connected planar triangulation G on n vertices has at least 2(n−2)(n−4) Hamiltonian cycles, with equality if only is a double wheel. In this paper, we show Ω(n2) cycles. Moreover, the distance between any two of degree 4 in 3, then 2Ω(n1/4)
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2022
ISSN: ['0095-8956', '1096-0902']
DOI: https://doi.org/10.1016/j.jctb.2022.02.008