Second Hamiltonian Cycles in Claw-Free Graphs

Sheehan conjectured in 1975 that every Hamiltonian regular simple graph of even degree at least four contains a second Hamiltonian cycle. We prove that most claw-free Hamiltonian graphs with minimum degree at least 3 have a second Hamiltonian cycle and describe the structure of those graphs not cove...

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Bibliographic Details
Main Authors: Hossein Esfandiari, Colton Magnant, Pouria Salehi Nowbandegani, Shirdareh Haghighi
Format: Article
Language:English
Published: Georgia Southern University 2015-01-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol2/iss1/2