On Hamiltonian Cycles in Claw-Free Cubic Graphs

We show that every claw-free cubic graph of order n at least 8 has at most 2⌊n4⌋{2^{\left\lfloor {{n \over 4}} \right\rfloor }} Hamiltonian cycles, and we also characterize all extremal graphs.

Bibliographic Details
Main Authors: Mohr Elena, Rautenbach Dieter
Format: Article
Language:English
Published: University of Zielona Góra 2022-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2249