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
@article{DMGT_2022_42_1_a19,
author = {Mohr, Elena and Rautenbach, Dieter},
title = {On {Hamiltonian} {Cycles} in {Claw-Free} {Cubic} {Graphs}},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {309--313},
publisher = {mathdoc},
volume = {42},
number = {1},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2022_42_1_a19/}
}
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/