The Nash-Williams conjecture and the dominating cycle conjecture
The electronic journal of combinatorics, Tome 27 (2020) no. 1
The disproved Nash-Williams conjecture states that every 4-regular 4-connected graph has a hamiltonian cycle. We show that a modification of this conjecture is equivalent to the Dominating Cycle Conjecture.
DOI :
10.37236/5505
Classification :
05C45
Mots-clés : Nash-Williams conjecture, dominating cycle conjecture
Mots-clés : Nash-Williams conjecture, dominating cycle conjecture
Affiliations des auteurs :
Arthur Hoffmann-Ostenhof  1
@article{10_37236_5505,
author = {Arthur Hoffmann-Ostenhof},
title = {The {Nash-Williams} conjecture and the dominating cycle conjecture},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {1},
doi = {10.37236/5505},
zbl = {1435.05123},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5505/}
}
Arthur Hoffmann-Ostenhof. The Nash-Williams conjecture and the dominating cycle conjecture. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/5505
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