Geodesic
On Hamiltonian Cycles in Claw-Free Cubic Graphs
Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 1, pp. 309-313.

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We show that every claw-free cubic graph of order n at least 8 has at most 2n/4 Hamiltonian cycles, and we also characterize all extremal graphs.
Keywords: Hamiltonian cycle, claw-free graph, cubic graph 
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Mohr, Elena; Rautenbach, Dieter. On Hamiltonian Cycles in Claw-Free Cubic Graphs. Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 1, pp. 309-313. http://geodesic.mathdoc.fr/item/DMGT_2022_42_1_a19/

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